As Nate Silver observes (yes, of PECOTA and 538 fame),
Bill Belichick is not dumb, provided that his goal is to help the New England Patriots win football games. Instead, much of the NFL's conventional wisdom on when to go for it on fourth down is horribly, horribly wrong -- teams are way too conservative and punt way too often. This is the one case where 9-year olds playing Madden -- it's no fun to punt in a video game -- quite literally make better decisions than most NFL head coaches. With that said, since the same flawed conventional wisdom can govern hiring and firing decisions, there may be a price to be paid for unconventional (if statistically correct) playcalling; see also Marty Mornhinweg.
If you follow that first link, it affirms--the Pats had a 79% chance of winning doing what they did, versus 70% by punting. So why is there outrage?