Same thing here - iPhone 6, bought at the same time as my husband's 6. He hasn't updated to iOS 10 and his battery life is perfectly fine while I at this point pretty much have a land line. The phone dies after maybe an hour of use, and shuts off randomly around the 30-50% mark. It's incredibly frustrating, considering how much I have come to rely on my phone.
Got my battery diagnosed via Apple Support, and they claim it's fine. Tired to DFU it, set up as a new phone, all those things with zero results. Just ordered an external battery pack and plan on using that till we get some kind of answer on what is causing this and what can be done to fix it.
Overall I've been using iPhones since the 3G came out (and iPods before that) and thought I would be an Apple user for life. This current situation is making me want to go elsewhere next time I need to buy a new phone, for the first time in almost a decade. I suspect that depending on how many people are affected by these issues it might cause Apple to lose quite a bit of market share, especially if competitors step up their game and start addressing dissatisfied users.
In all the Apple Stores I entered (a dozen) have yet to notice a genius watch a phone or laptop shut off, or the battery draining super fast, without them offering a solution- and why Apple scores # 1 customer satisfaction. Same for authorized repair centres. This last bit is a fact. I hope you are not replacing your Apple battery at a non-Apple dealer- that can complicate isues further down the road.
It is true that each time I had a known hardware failure, those basic in store diagnostic tests reveal nothing- but they are quite basic.
If you get a genuine Apple battery, covered by warranty, and your issue is solved, we know the culprit.
More importantly, I stronly recommend you Google whatever "xyz Brand battery issue" e.g Lumina 920 and you will discover the same reality everywhere on Earth, forum wise for each maker- Nokia Microsoft Dell HTC HUWAEi, etc.. The difference is Apple makes the resolution relatively easy, provided one does not expect miracles.Also important, some phones sell 1/100 versus iPhones, but you will se as lengthy forums as well, which means they likely have this issue x100 versus Apple.
At the end of the day, if the issue is confirmed as a battery issue, it proves the point that it is hardware, not software related, and the software merely exposed some issue.