It did alright, don't think I saw that many obvious cheaters in BF1. BF5 would occasionally have obvious cheaters, but I would hope they get banned eventually just because it's over the top (shooting people through walls, infinite ammo, perfect aim). Difficult to say with more subtle cheats, but I suppose if they're indistinguishable from players who are just good at the game then I think most people won't ever notice.

On the flip side I got permabanned from multiplayer in BF5 after EA falsely accused me of cheating, though I suppose that could've happened with any kind of anti-cheat, and could've been fixed by having half-competent support.