They could and probably do (might even be the same anti-hacking system which bans from xbox live from the Xbox 360 days) they aren’t doing this to combat cheating though, they’re doing it because it’ll make them more money. They might claim it’s anti-cheat because the gaming community will drink up that response and respect their decision without questioning it.
Many people who do stand up against descisions like these are usually laughed at or accused of being cheaters, I bet people might even do it to me because I posted this.
I will say that this will likely be all but a setback for cheat devices who can spoof or pass-through an official controller, they will adapt, this change will only truly be successful at killing third party controller support.