I don't play those games myself but the word is that the EAC on linux lacks the same kernel hooks that are available on Windows. I personally consider that a plus but if you're a developer obsessed with strong anti-cheat you probably do not.
Linux kernel provides ways to observe from user space. The problem is that there’s nothing to stop someone running a kernel which neuters anticheat tools ability to observe using that functionality. As far as I’m aware the only way to mitigate that is via measured boot attestation and having signed kernel etc.