I've seen quite a few reports where Bluetooth devices cause problems for "just this one game while the rest works perfect".
It's not just Battlefield V as people like to claim.
Having worked a little bit with the Bluetooth protocol I believe that's where the problem lies and not with individual applications like Battlefield which just accesses sound through DirectX like every other game.
The Bluetooth protocol has so many layers, some with an excess of complexity screaming that it was designed by a bunch of committees with different interests. Backward compatibility, forget it. Quality of the firmware out there? horrible, probably not a Bluetooth device out there without some bug built into it. If your combination of hardware and software happens to trigger a bug that only affects a single application you happen to use you might just be straight out of luck unless Windows patches something or one of your Bluetooth device gets a firmware or driver upgrade that happens to fix it.
After having worked a bit with Bluetooth I now just avoid it like the plague and only use it if absolutely needed.