I hardly think it's fair to say that the Patriots benefitted from the mistake. It was clearly unintentional, and neither team caught it during the game. The Steelers obviously played the best game they could on the time they thought was remaining and couldn't crush it out or leave the Pats with not enough time to get into position for a FG.

I think it's a little dramatic to simply boil the whole situation down to "Brady couldn't have done anything in 29 seconds!". The entire fourth quarter would have gone differently. I hope (and suspect) the game will stand, and not just because I like the Patriots, but because it was an uncalled mistake that was not in favor of either team.