> Some systems (notably BattleEye) actually have Linux support, they just need to enable it, but there's no incentive for them to do so.
This isn't really true. As GP said, there isn't a kernel level anti cheat for linux. You can switch a flick on BattleEye to run on linux but it wont be a kernel level as it is on windows. So there is an incentive for them to not turn it on because it simply is the worse version than the windows one. As far as I know even on windows you get cheats even if it is kernel level. Meaning, allowing linux you'd probably be flooded with cheaters if you already get them on windows.