I have two of them, and they're great controllers. It has a really nice dpad and the joysticks never had any reputation for stick drift. The Bluetooth implementation suffers from the same problem all Bluetooth controllers have though, latency. If it weren't for the shoddy Bluetooth implementation it would be the perfect controller.
Sure, but it works pretty well for me. I have BT headphones and DS4 controllers, and they work reasonably well together. I don't really notice the latency for the type of gaming I do (non-competitive SP games mostly).
Honestly the Stadia controller was great. I still have it and it's my favorite. The Bluetooth implementation just isn't that great since it was never intended to be used that way anyway