One of the challenges when it comes to switching gaming setups from the Windows world to Linux, is fully-featured hardware support.
The Xbox Wireless Headset + official dongle does a decent job with a lot of bang for the buck. However, It's not (yet) supported by XONE or any other driver. I can connect it via bluetooth, but then it just sounds dull - no surprise!
That's why I'm now looking for a new headset which is approved by the community. It must offer decent (surround-)sound in games.
Specifically, I think you mean AptX Low Latency. FastStream can reportedly do this as well. Both are nonstandard extensions to Bluetooth, so we have to look for them as features rather than assuming they'll be present.
https://habr.com/en/post/456182/
Maybe. Every time I've looked into this so far I found it confusing enough to just go with a cable.