Actually Dave, there are a couple other notable players that employ[ed] this "pivot at the last possible moment" technique: e.g. Robb Saez and the late Cowboy Jimmy Moore.
If you watch either head-on or overhead camera angles of these two players, you'll see the pivot taking place during the delivery stroke itself. While you may consider this amazing with Josh Brothers, consider doing this last-moment pivot *while* in the midst of a l-o-n-g slip stroke, as Cowboy Jimmy Moore had! (In other words, timing the pivot during the "slip-and-regrip" of the slip stroke in the cue delivery.) That's just plain SICK!
-Sean