Yes, that's why it happens, but it doesn't make it less obnoxious. It's obnoxious that Microsoft periodically breaks my audio and it's doubly obnoxious that some designer at Bose thought that trading away a physical button for this two-bluetooth-endpoint nonsense was a UX win (or, cynically, a portfolio win).

The fact that I've been able to figure out what's going on and am therefore able to work around the problem with only minor inconvenience is neither here nor there. Most users with the same setup will not be in a position to understand or do anything about the problem. Microsoft will degrade their audio, and they will live with it. Same with Edge.