In short: Wireless and gaming are not friends because of latency.
My experience:
Bought an expensive Creative USB dongle with all features, but it did not work with the Creative headset. Both claim to be compatible to aptX Low Latency. Meh.
So I got a cheap dongle from Amazon instead and it actually works. The occasional sound artifact can be heard, which is basically packet drop and sounds like a scratchy short noise. Works best with sender and receiver being very close and within clear line of sight. Like 1 meter or less. (That’s a yard and 3/4 of an elbow)
My purchase:
Dongle: YMOO B10Q Bluetooth 5.3 Adapter
Headset (cheap, no mike boom): Creative Sound Blaster JAM V2
It sucks, I don’t use it for gaming. But hey, no big loss. The headset speakers sound great for the money. Also it’s light and good for kids. The dongle is collecting dust under my monitor.
Alternative: Some expensive set from Sennheiser or similar brands with a big base station. Not bluetooth but a proprietary wireless protocol. Never tested these though.