Folks this will be my last post and then I am unsubscribing. I'd hoped to stay connected in case there was some official response from Apple, but at this point my inbox is filling up with folks reporting the same issue. Then there's a buch of official responses from the Battery Ambassador of this thread.
I went through troubleshooting with Apple Support. They claimed my battery was fine. I tried restoring, viewed battery hogging apps (there were none) and tried other suggested steps here. Because the battery was "good" I could not get an Apple replacement even if I paid. I replaced with a non OEM battery and my phone has been ok. I still think it drains faster with ios 10 than 9. It isn't shutting off and the battery meter is now reliable. On vacation last week I was able to get through long days with no need for a power pack, though I had one with me.
Like many of you I maintain the issue directly coincided with ios 10. I never had issues and literally the next day after the update I was uninstalling apps thinking I caused the problem. Regardless of whether it is os related or not, clearly replacing the battery fixes it.
My biggest beef with Apple at this point is their failure to diagnose the battery as bad. They can't have it both ways. If the battery is good and it is not the ios, then what is it?
My secondary issue is that this battery did not last as long as it should have. I've never had an Apple phone where the battery went bad in less than 2 years. I do not tax this phone with apps like Netflix of PokemonGo. It isn't subject to crazy temperature changes. The battery wasn't abused in any way.
For folks having the issue without warranty or AppleCare like me...change the battery. The aggravation you are experiencing isn't worth it. No one wants to carry around a power pack for their phone or worry about being stranded without the ability to call for help. It is $90 with Apple if they'll do it or cheaper if you go elsewhere (like I did). It stinks and we're not getting that amazing Apple service they've touted, but that's how it is. I'll send secondary feedback to Apple now that I can confirm that issue is resolved for me.
Complaining here is doing nothing except giving Belisarius something to respond to and filling up people's inboxes.
I'm signing off, good luck.