I've had my 950 since Wednesday evening and things are improving, but I'd still say it isn't great.
Battery usage is minimal with the phone sitting idle, and this is with Bluetooth on and my Band connected. I'm also finding that the phone doesn't get warm nearly as much. It doesn't really warm up much at all while messing around with the OS, unlike the first day or two.
Also, I played a game for a couple of hours the phone was barely lukewarm. I'd have to test further to ensure this is always the case, because even with my old 920, some games didn't get the phone warm but other games made it alarmingly hot.
I will add a caveat; I have Telegram on my 920 it was a terrible drain on the battery. I had notifications disabled but simply sending messages is a problem. It seems these issues persist with the 950.
Looking at battery consumption this is the breakdown:
System - 33.6%
Display - 56.2% !!!
App consumption:
Store - 27.0% (That's a concern as I haven't spent a while lot of time on the store)
Telegram - 17.1% (Over the past 24 hours I haven't spent a lot of time with the app, but I've used it more than the store)
Mini Motor Racing clocked in at 11.6% even though I played it continuously for an hour or two, definitely more than either of the two apps listed above. And for whatever reason the store has since disappeared from the list.