Again, FWIW. So far, a week after I completely wiped the SSD, downloaded Monterey from Apple, and imported all data, apps, etc. from a backup, I've had zero "volume hash mismatch" error messages. I am cautiously optimistic that the clean reinstall has done the trick.
(NOTE: I also changed the APFS partition(s) of the drive. Before, I had created 3 volumes, for different storage reasons. I had, unwittingly, also created the 3 as fixed partitions as opposed to flexible APFS volumes. Force of habit from the old days. When I wiped the SSD clean, I created only one APFS volume. Everything on the other two previous volumes was simply data, and I figured I could as easily put all that into folders on the one volume, instead of having 3 separate volumes. I have no idea if that had any effect on the volume hash errors.)
I also just got a copy of MemTest 86 and have been running it. So far, 2 passes and zero errors. I will let it go overnight to do justice to the advice everyone gives about "how many passes" - again, I am cautiously optimistic it will give me no errors.