For what it's worth, I just ran Geekbench on my iPhone 6s, original battery, running OS 9.1 (jailbroken). My serial is not in Apple's replacement range, but I've noticed for the last year or so that any time I run it hard when the battery is below 50% (even something as simple as launching Facebook), the phone is likely to shut down, and be unable to restart without plugging in. I of course never knew whether to attribute this to the battery or something like that, or just to some quirk of the jailbreak, but it now sounds like it may be the battery. In fact, if the battery is low when it shuts down and it's plugged into a weak power supply (e.g. a cheapo USB charger), the phone can get into a loop where it restarts then shuts down again during the reboot process, over and over until it gradually accumulates enough juice to fully restart (and I don't think this is just a matter of battery quantity, since when it finally successfully boots the battery is often around 20%).
Anyway, when I first ran Geekbench at around 45% battery, sure enough, the phone shut down partway through the test.
So I plugged it in, ran Geekbench again, and got 2488 single, 4411 multi.
I let it charge up to 70%, then ran it unplugged, and got 2556 single, 4449 multi.
So either this is a null example; or restarting the phone before running the tests makes a difference; or this is not the same battery problem as others are having; or the fact that I'm running 9.1 means there's no throttling, but there is an increased tendency for the phone to abruptly shut down when engaged in high-power tasks.