Image is just for flair, please ignore the other controllers in the pic. The tiny white dirt on the mousepad is from the PS box.
I purchased the Dualsense controlled because I wanted to try out the 'amazing' haptics and adaptive triggers. I have only PC, no PS5 so i was fine with using the controller in wired mode. But to my surprise both adaptive triggers and haptics WORK over Bluetooth ( Tried with death stranding Directors cut, Death stranding 2, Hades 2 and Cyberpunk 2077). The only thing I did was download the PlayStation accessories windows app.
Then I also tried using the touchpad as a mouse using DS4 and it worked flawlessly, Once the games launched, the Adaptive triggers(on supported games) and Haptics works the same as wired mode and with DS4 the touchpad also worked as a mouse at the same time.
It's strange that Playstation themselves are saying those features require a wired connection when using on PC, when it clearly works perfect on bluetooth