This will likely be my last post, number four, and I will stop following this thread. Too many posts! And, except for Belisarius, all saying roughly the same thing - that things were fine before iOS 10.1.1 (or 10.1 or 10.2) and that, thereafter, things were no longer fine, that batteries or battery indicators showed massive depletion, sometimes shutting down sometimes not, that plugging in the iPhone immediately caused the battery and/or the battery indicator to return to its previous level, that often the iPhone would function for 30 minutes to an hour or more at 4% or 1% battery indicator, and similar complaints.
Most of us have concluded, using logic as well as our experiences, that, when most if not all things have not changed BUT FOR one factor (in this case downloading iOS 10.1.1), and a different result ensues, that the one factor that has changed is likely the principal, primary if not sole cause of the different result. Most who have posted have noted that our iPhones were working fine before downloading iOS 10.1.1 but that immediately or soon thereafter these drainage problems emerged. Some of us have had the problem on almost new phones; others on phones a year old, others still on older phones. Some of us seem to have cycles less than 200, others like myself, at least according to one battery app, showing cycles at 325 or thereabouts, and still others with much more cycles (not that I claim to understand the technologies involved here). While a few, and it appears to be a handful, report that their batteries stopped suddenly draining after installing a replacement battery, one just reported the problem resumed. And the number with replacement batteries here is very small, the time period after installing it very short.
So, yes, I am among those who are convinced that Apple's iOS 10.1.1 (and variations) is primarily to blame for our battery drainage problems. I'm not even sure whether the battery is draining or the indicator is misreading, as I have had the indicator remain at 100% for over an hour while I have been intensively using my old iPhone 5 (not my principal concern here which is my iPhone 6 Plus), although it appears the actual battery is being depleted. Do I reject Belisarius' repeated (and I do say repeated) assertions that the battery is primarily the culprit (or at least that is my understanding of his contentions)? Yes. Do I say the battery and its quality are irrelevant to the problem? No. And certainly, despite the extent of this problem, it would appear that the majority of iPhone users who have downloaded iOS 10.1.1 are not experiencing our problems.
At the end of the day, I am convinced this is not simply a case of a limited but extensive number of iPhone users having downloaded iOS 10.1.1 with already declining if not failing batteries. Interestingly, AppleCare tested my iOS 6 Plus battery the other day over the phone and said it was Good. (I will visit its Genius Bar next Monday.) I am still under warranty so if the battery is the problem, Apple should replace it. But most in that situation say Apple has refused. We shall see.
Thank you all for sharing your experiences. And fortunately Forbes has picked up on this story. I hope Apple is aware of the extent of discontent and that it addresses a fix in iOS 10.2.1 even if news reports are questioning whether that will happen.