What is even more insane is I was playing Battlefield 1 on Linux for years, until in 2023(?) they backported "EA Anticheat" to BF1, half a decade after the game stopped getting support.

This broke what was otherwise a perfectly normal Battlefield experience. Battlefield 4 requires Punkbuster, although it can run on Linux with no issues. You have to downgrade to an older version though, since EA hasn't updated BF4 to the latest PB AC, which causes you to get kicked.