For me, the decision to punt isn't even just about 4th down. As soon as you get to 3rd and 3 from the 35, BB should be telling Petersen that it's 4 down territory and he has two plays to get the first (assuming no negative yardage).
For all of the talk about what he learned from Belichick, that strikes me as a very un-Belichick like decision to make. Feels like more often than not, Belichick will make the call to attempt secure the win by being aggressive in situations like that and take the ball out of the other team's hands.
(Even better would be making that decision that it's 4 down territory on 1st and 10 from the 42, but it seems like we're a ways from BB thinking like that).