Alright. So it has been exactly one hour since restore, set up and fully charge both devices. On 9.2.1, through 9.3B7, after 1 hour of standby, my iPhone 6s and iPad Air 2 would be at roughly 9 minutes of background usage (all apps closed, just normal background processing).
After 1 hour of standby, my iPhone 6s is at 8 minutes of usage and my Air 2 is at 3 minutes of usage. Clearly the restore worked to fix background usage, but for battery life it is too soon to tell.
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Edit: Battery is much better. 45 minutes of usage and 3 hours of stand by. Still at 100%. This morning I was at 45 minutes of usage and my device was down to 81%.