In this case, it really looks like Activision's Anti-Cheat is broken and banning people unfairly (if we can trust OP, which I have no reason not to).
A related problem though is that game developers have a really hard time trusting anyone who says they've been banned unfairly. Almost everyone who gets banned for valid reasons will claim they did nothing wrong, etc. This is especially true for delayed bans, as the person doesn't even realize that their account got flagged to be banned weeks before the actual ban took place.
Given that problem, when a developer gets reports of users being banned unfairly, it's very easy to ignore them as salty cheaters. Ideally there is a way for them to know exactly what tripped the anti-cheat, but sometimes it's hard as the client has to covertly tell the server to ban itself.
A related problem though is that game developers have a really hard time trusting anyone who says they've been banned unfairly. Almost everyone who gets banned for valid reasons will claim they did nothing wrong, etc. This is especially true for delayed bans, as the person doesn't even realize that their account got flagged to be banned weeks before the actual ban took place.
Given that problem, when a developer gets reports of users being banned unfairly, it's very easy to ignore them as salty cheaters. Ideally there is a way for them to know exactly what tripped the anti-cheat, but sometimes it's hard as the client has to covertly tell the server to ban itself.