Their version of EAC actually does work with Linux/Steam Deck. I'm playing on Linux. They're planning to move to a different anti-cheat for their official servers but I believe community servers will still be able to just use EAC.
Easy anti cheat usually is. From Software likes to use it, and Elden Ring even ran better on Linux compared to Windows for a while.
The Battle Bit devs said they are going to move to a different anti cheat product that usually excludes Linux players, but they also said they'll try to disable features on the anti cheat to prevent that.