Battery life is worse for me on 5.1. I'm also having issues where I'm not getting notifications for SMS, the dialer is becoming unreaponsive, apps are crashing, stuttering in apps and battery live is a lot worse.
The memory leak is causing a lot of theses issues, constant reboots of the phone help to mitigate the issues, but it is a real pain. I've waited 4 months for the original lollipop issues to be fixed and now a whole new batch has been introduced. This has turned me off nexus devices, I just want something that works.
And more than anything I just want my phone battery to last an entire, long day!