Well I did write this:
"My Touch ID failed following the update to iOS 9.2.1.", "I have done everything, starting with a hard reset as you describe. I've spent my entire Sunday restoring my phone to factory settings under iOS 9.2.1, which is the OS that broke my phone. I have tried restoring and setting up new, and restoring and backing up to no avail."
But I understand the confusion.
As I said, after a complete restore to clean factory settings as I described above, I set it up as a new phone, and from the initial set-up assistant, the following occurs:
When I get to it, The Touch ID setup pane appears briefly, then instantly slides away revealing a new pane which states: "Touch ID FAILED, please go back and try again." And however many times they I try, it always fails, so I click set-up later and move on.
Then later from within the Settings/Touch ID & Passcode, I enter my passcode, and attempt to toggle on use Touch ID for: iPhone Unlock, which results in the exact same configuration pane, with the exact same failure error. The same is true for use Touch ID for iTunes. Until these are toggled on, there is no adding fingerprints or working with Touch ID at all. And Touch ID cannot be setup due to this failure.
The exact same thing happens when I restore from my pre-upgrade backup. I am forced to set-up Touch ID, and the setup always fails.
All was working perfectly prior to the update to iOS 9.2.1, and afterwards what I've described.
But that's not all that's wrong. When I arrived in the office this morning at 9:30AM I had a full charge. I did not use my phone all morning, and when I next checked my iPhone 3 hours later, the battery level had dropped to 70%. I then went to lunch, but did not use my iPhone at all. When I returned from lunch, I went into some meetings, and now at 3PM, 4 hours later, my batter level has dropped to 38%. Nothing has changed from my work environment, or where I've traveled with the iPhone today over the usual, yet typically I might leave work after a 9 hour day with more than 70% of my battery remaining on a light use day. Worst case scenario after heavy use is down around 30% after 9 or 10 hours. So it's losing about 10% of it's capacity every hour doing absolutely nothing.
Sadly 9.2.1 has completely screwed up my 1 year old iPhone. And clearly doing a clean factory restore has not fixed that. So if you have any other insight, I'd be happy to entertain it!