The two most widely used anti cheat application battle eye and easy anti cheat both natively support linux but game developer have to check a box to enable it.

About 40% of games that use anti cheat currently work on linux. Getting banned for using wine is exeedingly rare because before you can even join a game the anti cheat would complain about not running and prevent you from even joining a game to get banned.

https://areweanticheatyet.com/