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Have you tried restoring the phone as a new iPhone. I did that and all my problems went away. Battery life is good, performance is excellent, phone doesn't overheat. Only painful thing I had to do was reinstall all my apps. Everything else is stored onto the cloud or on iTunes on my Mac.

Developer beta 4 with an iPhone 6s Plus and an iPad Air
 
No AM, no iTunes Match. Pure sync music to device or download from iTunes Store.

No any serious battery drain when playing music no matter when. I must be lucky. DP4.
 
Mine shows that Siri is draining my battery. I turned Siri of and it's still draining my battery. It's drained 46% of my battery, my only guess is that it's using Siri to play the audio from my apps.
 
We will see what it does today. So far Standby seems okay. I unplugged about an hour ago and im at 99%. So thats not bad. However for some reason my usage matches my standby time and idk why, both 57 minutes. I just closed all my apps so i'll see if that changes now....I haven't tried playing music yet which seems to be the root of my issues.
Maybe try "reset all settings". That is a bit easier than a full on restore as new and typically will fix the usage/stdby times being the same. That seems to correct a lot of weird issues after an update and is pretty painless other than running back through your settings to get like you want.
 
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