That's why I bought the BT-W5. To be able to use my favourite headphones with the Series X without delay. But unfortunately that doesn't work. Either I'm too stupid for it or it just doesn't work. I have not yet received a reply to my enquiry to the manufacturer.

If you find a solution, please let me know ... that's why I prefer to game on my PC again ...

I will test it.
I have bought it with a USB A to USB C adapter and will connect it to the controller first via USB C otherwise via XBOX with USB A if this does not work I will test it on my TV with USB A and connect it.