I have researched the problem with the BOSE Companions 5's more. First, this page lists the versions:
https://support.microsoft.com/en-us/topic/windows-11-version-24h2-update-history-0929c747-1815-4543-8461-0160d16f15e5
My PC was updated to 24H2 on 11/22, with the update dated 11/21. As you can see along the left of that page, there were many 24H2 versions that my PC was not given.
The first rollback attempt failed, as the rep did a restore point first, which negated the built-in rollback option. My next rollback, with a new rep, required an ISO file for a new install. Running winver, I now find I was rolled back to 24H2 with the version dated Sept. 10th. Now I have the problem of the pod going orange after five minutes of no sound, and then red about four minutes thereafter. But as I play music, this is not a big deal. What happened with the Nov. 21 update was no sound at all. So an update between these dates completely broke the sound. And that is what I reported, not the pod turning off. Which I can live with.
As for what I plan to do. There aren't going to be updates in December. So come January I will look at the link above, and when I see a new version, I will read it, and consider making a try. And expect the built-in rollback to work.