Unlike Civ6, the performance between the Native linux version and the Windows version is very close. Personally, I observed better frametime consistency with the linux build. However, the graphics settings often did not "stick", seemingly adhering to a default level regardless of what I chose. Most notable of these is that it didn't matter what kind of AA or upscaling I chose, the game always rendered native with no AA at all. This made some fine details like hair on the leaders look especially bad. Additionally, as most linux distros do not yet have a native color management system or HDR support, nothing you do in the command line or OS options will enable the game to run in HDR mode.

The windows version via proton seems to honor the graphics settings you choose. I selected vulkan. If you can run other games in HDR using gamescope, Civ7 can also be ran in HDR using gamescope.

The UI suggests that if you turn on vsync, a framecap setting will be exposed. Personally, I never saw this happen on either the linux build or windows build. If you want to cap your framerate, I recommend an external tool like mangohud.