I just installed Fedora 36 with default configuration. I paired my Bluetooth sound receiver with my laptop (to play media with external speakers). When I pause the media in Firefox or VLC, it keep playing again after 4 or 5 seconds. When I pause the media and quit Firefox/VLC, a system popup (∅) shows up. I think threre is a bug about Bluetooth media control keys in Fedora. I also tried it with default installation of Almalinux 9 Workstation, there is same problem. But there isn't a problem in elementary OS.
30