The install seems go to perfectly fine. It doesn't get hung up or anything, and I don't get any errors at all. I keep it plugged in to a wired connection at all times, so no wireless issues to speak of. I do occasionally get weird internet issues, so if this is a possibility then maybe I should try taking my machine someplace a little more stable?
I doubt I'll be able to test the disc on another console. But like I said, this is my second disc, and the chances that I got two bad discs seems pretty slim.