This particular list does have a recommendation for a wireless headset that utilises both Microsoft's proprietary signal and Bluetooth:
https://www.eurogamer.net/articles/digitalfoundry-best-gaming-headset-for-pc-xbox-one-ps4-switch-7032#xboxThat will allow it to be wirelessly connected to both your Xbox and PC. If the direct link doesn't work, it's the Arctis 9X.
What I've found with these lists though, is that they don't necessarily take long-term use into consideration. I remember looking at headsets a couple of years ago, and although they place well in these 'best headset' lists, the Amazon reviews told another story due to durability and other longer-term use issues.
Saying that, if you can get away with wired, I would go wired. That way it rules out both connection issues and battery issues which will be factors in the long term. If your PC and Xbox are nearby it will just be a case of popping out the lead from the front of the PC and popping it into the Xbox controller.