EAC & BattlEye have official Linux support both natively & via Proton, however unfortunately only a few devs have enabled the said support in their game.
If you go here you can see what is and isn't currently working.

[–] Szwendacz@kbin.maciej.cloud 3 points 1 year ago (1 children)

modern anti cheats work under linux right now, from what I know

[–] iByteABit@lemm.ee -1 points 1 year ago (1 children)

Last time I tried Fall Guys it didn't work, but that could be an issue specific to the game so I can't say for sure

[–] Rustmilian@lemmy.world 3 points 1 year ago

Fall Guys is currently working for me via the latest version of Heroic Games launcher.

[–] MaliciousKebab@sh.itjust.works 2 points 1 year ago

Depending on the game you might play it just fine, but it's hit or miss atm.