While I don’t play Apex I have put way too much time into Battlebit Remastered which also uses EAC and I’ve never had an issue being kicked.
Other games I’ve tried with EAC are Ironsight, Killing Floor 2 and Elden Ring, and they all worked fine. Rust being the only one I had to give up after switching (tho that’s probably a good thing for my mental health)