Last week, I replaced the battery for my iPhone6s, because the old battery has almost died. After that, it becomes much faster than before. The old battery often shuts down even though there is 50% left. My phone is on the recall list but I can never book a slot for replacing the battery in any Apple store here in Hangzhou, China. They are always full. Very disappointed with Apple's service.
Then I bought a third-party battery on Taobao for less than 20$ and replaced it by myself. When my phone turns on again, I feel it's so fast and smooth. Then I realized iphone drops cpu frequency when battery dies. The new battery is 2200mAh, 550mAh larger than original. Now my phone can last a whole day under normal use.