To summarize: If you use a Logitech bluetooth device, it creates enough interference that high-bandwidth products like the Airpods will not function correctly. If you switch the Logitech device to use their "unifying" adapter, which doesn't use bluetooth but a different proprietary wireless protocol, the problem goes away. Logitech acknowledged the problem about six months ago but thus far have deflected any further…
My favourite part about wires is that there's never interference or poor connectivity. Aux headphones, ethernet cables, wired mouse and keyboard - all so much more painless.
On the other hand, instead of doing loads of research and buying new equipment, I can just connect my headphones or speakers by Bluetooth and the noise is gone.
Now I have to deal with the annoyances of Bluetooth which are not zero either. But it's a great tradeoff for me.