Let's look at this bug in a slightly different way. If the Apple ID was corrupted, we couldn't do anything as normal on MacBook, mine is on OSX El Capitan version 10.11.1, where everything is perfect...
On September 9th I bought a new iPhone 6, it was running under IOS 9.02: Everything was perfect.
On October 23rd morning, I updated to IOS 9.1, and all dreaded symptoms happened, shame is I launched the update on my iPad Mini exactly at the same time, as like the IPhone, it was running without any issues under IOS 9.02.
So October 23rd, both iPhone & IPad showing same symptoms.
Did everything Apple support told me to: reset internet connections, ultimately reset iPad Mini and iPhone. I started with the iPhone trying a restore from last iCloud back up: And I noticed that it hadn't done a back since October 20th, when the iPad backed up OK every day. iPhone eventually died, stuck on the black screen with Apple logo in the middle.
Now, on both my devices I use only: emails, Apple Music (paid subscription up-to-date) ITunes Match (paid subscription up-to-date too), look at Internet via Safari, use: Twitter, Facebook, IMDB, the Weather, and my banking app, that is all, no Gaming, no Face Time, none of that stuff...
Saturday October 31st: Appointment at the Genius Bar at the Apple Store: Nothing they knew about the issue, apart from confirming that I didn't do anything wrong on my devices. I bought then an iPod Touch, just to be able to use my Apple Music subscription, that IPod Touch running on IOS 9.02 was set completely new, so if an Apple ID problem existed, I couldn't set it right? All fine, that IPod Touch prompted me all week to update to IOS 9.1, which I ignored.
From Saturday 31st October: iPhone: not working, IPad started to work as normal from the following Monday night, non-stop, until this past Sunday.
Monday November 9th, second appointment at the Apple Store: I gave them back the iPod Touch for refund, because I my iPhone is working, I don't need an IPod... They gave me a new iPhone 6, running on IOS 8.4.1: Set as new: no problem at all! Again, if it was a corrupted Apple ID, I couldn't set a new device?...
Ipad is working on & off... Like the IPod Touch, it is prompting me to update to IOS 9.1: I ignore it again...
On the thread I started on October 23rd, I named it "Apple Music not working since IOS 9.1 Update", which is after all these conversations very misleading: there is nothing wrong with Apple Music as long as it is not running on IOS 9.1, but that was the very first thing I noticed.
Now I check in a different way, if Hyperlinks in my emails are not loading in Safari I know that Apple Music won't play... it will show everything, but not play, and Beats 1 won't load, if while Hyperlinks are not opening in emails and I want to download/update an App I own: It will not download, and not update.
To me corruption of Apple ID is a "side effect", otherwise why Hyperlinks would not load from emails? This is not linked to any Apple ID....
I hope I didn't bore you.... Any thoughts?