He even changes the lyric "I wanna sleep with you in the desert tonight" in the 2013 performance. You can tell by the bass player's reaction that the change wasn't planned. So yeah, I agree that he used to sing live. I don't understand why he doesn't anymore since he can sing just fine for a guitarist who's not really a singer. In a live situation I'd rather hear a real performance where perhaps every note isn't in tune than a pre-recorded track where you can hear Autotune on every note.

But like I said before, it's not a big deal to me that he seems to lip sync every song today. What bothers me is that he gets away with it while people constantly bash Frey & Henley about all kinds of things.