How to Disable the Constant "Update Apple ID Settings" without Enabling Two-Factor Authentication?

I had this problem for almost a year, across all my Apple devices, with no solutions from forums, Apple support. Finally, an Apple Support tech suggested that, since my iPad seemed to suffer the worst of the constant having to log in, get locked, answer questions, relog in, that maybe there was a sync problem with the iPad. Logged out of Apple Id on the iPad, waited 15 minutes for it to back up and log out. Logged back in. The iPad works, the phone works, the MacBook works now without the annoying "Apple Id Update". What was actually suggested was an "elimination diet" of logging out of all devices (after back up) then logging back in one by one ensuring the device works properly, until finding the culprit. Got lucky on the first one.

This did not work. next day, the pop ups started coming back . In 3 days as bad as ever. Who knows what is going on?