First of all dude, thanks for your post. This is kind of a late reply, but i just recently got my PS5. I have the exact same problem, even with HDR disabled. It happens in both Crucible and PVE. The aim just does not feel right. I'm overshooting targets randomly just like you said. It indeed feels like an acceleration issue. I thought it might be an controller issue or even a thumbstick issue until i found your post. I hope they can do something about this. I played D2 on PC with this exact same controller and i feel like that issue does not happen there. I could test some more in the coming days.