I changed the password for my Apple ID and now cannot logon to iCloud via the browser. I can logon to iTunes and appleid.apple.com but not iCloud. Phone is also affected for iMessage, iCloud, and iTunes.
All of these problems were caused by not deleting the iCloud account on my iDevice. My main concern was being able to keep all contacts should iCloud still be unreachable. You do loose photos that are stored on iCloud (but not stored on your iDevice) but contacts can be kept on the device. When I deleted the account everything started working again.
This was a simple fix that user Winston Churchill noted earlier. Thanks!
As to intuitive, I have to give Apple low marks on this one and their support while courteous, was unaware of this “workaround”.