Sadly, the original Assetto Corsa is also borked on Linux (AC Evo and AC Rally, on the other hand, run great).
In my (admittedly limited) experience, it does run, even with quite comparable performance, but getting a wheel to interact with the game has been a bit challenging. But this could be resolved with a custom driver for my specific hardware. Using the community standard mod manager seems to resolve the UI jank by completely bypassing it.
AC works fine just requires a little extra setup, either use this script[0] or use the latest GE-Proton (with a fresh prefix), I recently updated protonfixes to fix a CM/CSP issue. The latter is better as newer Proton has some definite performance improvements.
0: https://github.com/sihawido/assettocorsa-linux-setup