Ok, so not really. But our own Dauroth, a fan in the Battle.net forums, pointed out the man singing "Hotel California" is none other than Ed Trotta, the actor who voiced Tyrael.
I'm now just counting the days until somebody does a video mash-up where we actually see Tyrael performing the song. Make it happen people!
Still, nice find by whomever.
http://diablofans.com/forums/showpost.php?p=478241&postcount=6
He was also the one who posted it on the official forums.