"Control," by which I assume you mean the coach's control over the squad, by which I assume you ACTUALLY mean such a foreign concept as discipline and enforcing personal responsibility, is how all the winning happened in the first place,
If the coach loses control of the dressing room, he's nearly always exactly one additional mistake from losing everything else. There is nothing more sacred to a coach who intends to stick around awhile, then being in complete control of his team. We've seen what happens when a coach loses that control in places like Pittsburgh and Cincinatti. Underperformace tends to be one of the gentler consequences.
That aside, I can't help but love these suggestion that we lost because Bill Belichick decided to lose. Last I checked a very good opposing team had a lot to do with the outcome of that game. If Bill was faced with the decision to lose a Superbowl or lose everything he's built this franchise into over a 17 year career, that's a heck of a choice to have to make, but the team STILL had every chance to beat an excellent team with just one or two more successful executions of the game plan on either side of the ball.
That, and all the Monday morning quarterbacking aside there's NO guarantee that making the other decision would have resulted with a win. And either way, it would have created huge problems going forward if Bill had bent his own golden rule for Butler.