Interestingly enough valve has tried your method of catching cheaters your way by pattern matching with a neutral network in csgo. Sadly they never got to the confidence level where they made it automatically ban people because they didn't want to catch really good players in the crossfire. Instead they send them to overwatch, a system where sufficiently good players could judge the case and determine if the person is cheating.
But also there's many different types of cheats and that will only gets you so far. Information plays a big role in cs so wall hacks can go undetected if the player masks then which they do since they know they're probably watched. There's also subtle aim bot for that reason that doesn't snap your aim to your enemy precisely but corrects your manual aim by just correcting it a tiny bit.
As the other user described, it is an arms race and so far the cheaters keep finding ways to trick the algorithm after each ban wave. I still admire valve for not going kernel level with their anti cheat and trying the complicated and interesting route instead. However i think that is because valve tried kernel level when it was still resisted by gamers so they got big backlash at the time and went back to regular anti cheat.
I think what worked best for me was trust factor, which rates the trustworthiness of your steam account and since i have a legit account I've not played against cheaters since they implemented it and until i stopped playing. It sucks for new players with new steam accounts tho as they get matched with a lot of cheaters.
And you make her being trans an avenue of attack, so you're a transphobe. Same as if you'd call a black person you don't like the n-word.