Battery life seems better after the first few days. I did notice a lot of standby drain with 4g early on, about twenty percent overnight(eight hours). I usually charge it overnight and have a 4g widget when I won't be using the phone a lot.
I went from charged to seventy five percent this morning (off today) in two hours with one hour forty seven minutes of screen time. I think I can live with that. There's still just a little bugginess and GPS is about a block off with wifi off but it's a keeper now. I'll wait till the Note 3 comes out to snag a 2 on the cheap.
Before the battery swap my battery life was just dreadful! Screen time is much better now per use.