Hello!
I don't want to hijacked this thread, but i have this EXACT same problem.
My controllers (one fake, one genuine) are working with a cable, but when i connect them over bluetooth, the controllers are detected (led in the controllers, device manager too) but no input detected in games or with the Windows tool..
I have an Intel AX200 card, so my bluetooth version is 5.1.
Shibari window when i connect my genuine PS3 controller: 2020-06-08_14-56-44_Shibari_Dom_Server.png
Device manager:
2020-06-08_14-58-46_Gestionnaire_de_périphériques.png
Thanks, and have a nice day!