Music App (1.1.6.32) in MacOS 11.5.1 does not update "play count" and "last played date"

The ongoing saga continues, with apparently a variety of configuration or operating conditions contributing to the behavior. Some people see this and other do not, to wit ...

Apple Music does not reliably update the various property/attribute values related to the play history of individual tracks, such as "Last Played", "Play Count" and "Last Skipped"

Several weeks ago I was on repeated calls with the Apple help line in attempts to diagnose this, resulting finally in their telling me it would be addressed in a future update. I'm sorry to find that the most recent MacOS udpate has not corrected the problem.