Phone, work iMac, 3 home laptops and a server. It's never-ending. I've tried logging out of iCloud on all devices. I've deauthorized all devices. I've forgotten several other machines that I rarely use to get the number down to 6. I've repeatedly entered my Apple ID password, the password of the device, AND the password of "another device that you use to log in to…"
Still, every day, on every machine:
Update Apple ID Settings
Some account services will not be
available until you sign in again.
Has anyone truly solved this so that it is no longer a recurring nag?