
Controller was not working before I chose experimental (so it was native I suppose?)
without vsync fps is in range of 30-300. with vsync it is stable 60

DXVK_CONFIG="d3d11.cachedDynamicResources = a" PROTON_ENABLE_NVAPI=1 DXVK_ASYNC=1 gamescope -f -r 60 -w 2560 -h 1080 --force-grab-cursor -- mangohud %command% -nolauncher
Might crackle on the beginning of the play session. No further issues.
DX12 works better out of the box but it has graphical artifacts unless used with gamescope.
When using DX12 there is a periodic input lag / freeze. Ocassionally the game fails to register either keyboard input or mouse movement.
When using DX11 performance was really poor when looking at the skybox.
This is an DXVK specific issue on my setup with the game running through a Thunderbolt 3 dock.
This was fully fixed with the DXVK_CONFIG="d3d11.cachedDynamicResources = a"
launch option.
So in conclusion, the game runs perfectly fine on DX11 now, I don't recommend using the DX12 at all.
This is a report made based on the setup made of a laptop and a Thunderbolt 3 eGPU dock runnind on Wayland.
Gamescope is not required.

Even though I had some issues on this hardware (laptop with eGPU - wayland), I had much better experience on my PC on x11. (the same GPU)
PROTON_ENABLE_NVAPI=1 DXVK_ASYNC=1 gamescope -f -r 60 -w 2560 -h 1080 --force-grab-cursor -- mangohud %command% -nolauncher
Artifacts on illuminated areas were vissible when using DX12, this was fully fixed by running via gamescope
When using DX12 there is a periodic input lag when ocassionally the game fails to register either keyboard input or mouse movement. This one is really frustrating as I have not yet found a fix for that. It wasn't happening on DX11.
When using DX11 performance was really poor when looking at the skybox. This was fully fixed by using DX12
ON WAYLAND - Switching from DX11 to DX12 improved performance but introduced a few issues. Running through gamescope fixed the visual glitches but I wasn't able to fix the periodic input lag.
I didn't have such issues on my PC on x11 but I wasn't CPU bottlenecked in that scenario.

I'm not sure if it is just specific scenes with a lot of particles or after significant playtime.
I tried the Native port, and performance was slow, laggy, and virtually unplayable. Also save games cannot be transfered between native and Proton versions. Proton version plays as well as Windows for me.
I needed modify $HOME/.steam/debian-installation/steamapps/common/Rise of the Tomb Raider/RiseOfTheTombRaider.sh
and adjust locale, without this was constant crashing with signal 6
# Launch the game with all the arguments
# LC_ALL=C ${GAME_LAUNCH_PREFIX} ${GAME_SIGNAL_WRAPPER} "${GAMEROOT}/bin/${FERAL_GAME_NAME}" "$@"

Got consistent smooth performance with everything cranked up to the highest on DX12, also NVIDIA DLSS
gamemoderun %command%
The native version didn't boot, but the Windows version works flawlessly

-nolauncher
Played 60 Minutes so far 2560*1440p Almost every thing at max (tesselation off) Small drops at 52-55 Fps but Globaly run at 60 Fps (60 HZ forced in game options)

DXVK_ASYNC=1 gamescope -f -r 144 -w 3840 -h 2160 --force-grab-cursor -- gamemoderun %command%
Under DX12 using Proton Experimental there were an odd texture glitch or two that were not present on DX11, not noticing much more as I progress.
Heavy FPS drops under DX11 using standard Proton 9.03 and Proton GE 9-21, DX12 was even slower.
Issue is mostly resolved under DX12 using Proton Experimental, higher average FPS

Na verdade joguei na heroic pois ganhei esse jogo na epic games, funcionou bem so joguei o inicio mas não diferença da vez que joguei no windows, na verdade estava tendo problemas no windows as vezes o jogo fechava em algumas partes, bom por fim rodando o benchmark do jogo o resultado foi 72 fps, grafico alto e resolução 2560x1080.

The native linux version is very laggy and suffers from inconsistent FPS
Very inconsitent FPS to the point where it was unplayable
Lowering the graphics settings did not show any significant improvements. At some point it was unplayable when I had FPS in the lower 20s, even in smaller areas. For a game from 2015 this was not expected at all.
Switching to Proton (experimental in my case) solved the problem for me. Unfortunately the saves do not convert from native to Proton which forced me to replay an hour or two.
Now I get FPS in the 70s or 80s pretty much all the time on the highest settings. This is totally acceptable for my low-to-mid-range GPU on 1440p.

Game runs good, goes through battery quickly, ~2 hours on full charge w/ Medium settings & 40hz.
Set refresh rate to 40hz, all settings at medium.
Game has a launcher, can be disabled in the launcher's settings.
Framerate would drop noticably in scenes with lots of particle effects and in heavy combat.
Game looks great on Steam Deck LCD, but is very demanding even on Medium settings and with a capped framerate. I got ~2 hours on a full charge with these settings, could possibly get 60hz with some low settings. System gets HOT. Have a charger on-hand for longer play sessions.

偶发闪退
Runs perfectly

Works great
The moment I switch windows while the game is in a window, the mouse and keyboard stop responding.
Yes, while in windowed mode. I haven't tested the gamepad.
Benchmarks (1920x1080/Windowed): AVG
Lowest: 283fps
Low: 241fps
Medium: 189fps
High: 148fps
Very High: 111fps

Works perfectly

Works with either Proton Experimental or GE-Proton9-11. I did have better framerates with GE.
MANGOHUD32=1 %command%
When throwing the grapple hook, the axe texture does not apply correctly.

Besides having to force Proton, everything runs pretty perfect. Benchmarked at an average of 59.77 FPS. Although, I think the game is limited to 60 FPS...

Native will not start, it freezes at initial screen when using nvidia,
I did some test on another PC with linux and AMD GPU and it works great, when using NVIDIA it freezes on initial screen, this happens with other games I have ported to linux by feral interactive.. Newer feral ports works great, I hope they don't break on the future. Using proton is the only solution.

the game plays great on steam deck with the default settings, no issue here

Native version has much worse performance than with proton
The Linux native version is much slower, graphics is a lot jerkier and loading saves takes forever, with the game sometimes freezing completely. Running with proton, the game works completely fine.

The native version didn't work OOTB, but ran great after forcing the Steam Play compatibility tool to Steam Linux Runtime 1.0 (scout)
Force Steam Play compatibility tool to Steam Linux Runtime 1.0 (scout)
I think the game depends on the now-obselete gconf library, which often isn't packaged for modern distributions anymore. It also segfaults if it doesn't find a pulseaudio executable in PATH. Fortunately, forcing the Steam Play compatibility tool to "Steam Linux Runtime 1.0 (scout)" seems to fix all of these issues.

O jogo rodou de maneira satisfatória sem precisar de alterações

no modifications, I just installed it with proton experimental and everything works perfectly
i managed toi get the game running at extra high settings with ease. game runs beautifully. forgot i was running it in linux tbh.

Native version is trash, game won't start. Forced proton 5.0-10+vulkan fix. Game starts but too much texture defects + fps extremely low.
PROTON_USE_WINED3D=1 DRI_PRIME=1 RADV_PERFTEST=gpl PROTON_ENABLE_NVAPI=1 gamemoderun %command% -nolauncher
This is a no-go for me.

If you don't use surround sound, use the native build - works fine. Otherwise, Proton 9 will work equally as well.
-nolauncher
Using native build, surround sound doesn't work.

I was able to get both the native Linux build and the Windows version working on Steam with minimal tinkering. However, the native build is limited to 1920x1080 resolution on my system. Since I have a 4K monitor, I tried the Windows version in Proton, and I was able to get 4K. Not sure why the native build is limited to 1080p. There are some graphical glitches if you enable DirectX 12 in Proton, but everything looks fine with the default DirectX setting.

Game seems to suck up battery life. Plug in.

Since I'm not using Windows anywhere (everything running Linux) I chose to play the native Linux-build instead of forcing the Windows-build and using Proton.
I can not recommend this one enough - I was already amazed by TR 2013 (with Proton) on Deck, but Rise of the Tomb Raider (Linux) topped that with ease. Besides Anti-Aliasing and Motion Blur (I always disable those, I don't like them for various reasons) I pretty much set everything to the highest settings, and the game worked like a charm and looked gorgeous. Sure, here and there you notice the framerate varying, but never to the point of it being a bad experience or hindering you gameplay. Controls, button presses, aiming... everything just was good all the time. In over 21 hours alone on Deck, completing the main game and also a lot of side content, I had literally zero issues. This game definitely shows what native linux gaming can achieve! :) Now, on to replaying Shadow of the Tomb Raider on the Deck... ;)
Works like a charm: even in fullscreen Alt-tabbing with 2 monitors is fast and stable

I was originally using "gamemoderun %command%" in the launch options
When running the game through gamemode for some reason all audio except cutscenes was completely gone. I have tried changing my /etc/pulse/daemon.conf settings so the audio would run at 48khz but it didn't work. So far the only thing that has fixed it was running the game without gamemoderun %command% in the launch options which I prefer not to as basically all games have worse performance when you don't use gamemode.

Ran a mixture of medium/high settings with a 40hz FPS target. No notable dips to speak of.
A certain visual effect around lanterns displayed as strange multicoloured checkerboarding, most often in the late game areas. It is distracting but thankfully localised to specific light sources.
Native was unstable, often not launching. Proton fixes this up. Owners of the OLED deck can appreciate strong use of dark environments, however HDR appears to be a Console only feature.

Overall runs great - switched to windows version via proton experimental for more FPS. Only a few minor graphical bugs here and there.
Played while traveling, so to saved battery switched to low and capped FPS at 30
Wouldn't hesitate to play this again on the Steam Deck.
RADV_PERFTEST=gpl gamemoderun %command%
No problems at all natively on this hardware

-nolauncher
Save location is in the Prefix folder you set to.
Turning ON "Limit FPS" on Heoric Launcher for this game will cause frequent crashes. Tried Wine-GE, Proton-GE, Proton 7.0, Proton 8.0