I don't think BB intentionally threw the game to avoid the Steelers (or for any other reason for that matter)...too many intangibles involved for me to believe that.
But, I do think this is a case where we might have to keep several possibly contradictory ideas in our heads at the same time.
I do think it's not out of the question that he decided that of the two remaining games the odds were longer of winning yesterday's than next week's.
So, in that context, he did not push anyone out on to the field if he could have played but also could have benefited from a week off.
He also played the game conservatively at the end of both halves to protect Brady (especially when Vollmer was carted off) and with the decision on the OT coin toss to give Brady one chance to take the Pats 35 or so yards, assuming the D got a stop inside the Jets' 30...didn't work out the way he hoped, but if it had, the decision would now be part of the "Legend of Belichick."
That said, he also took his shots aggressively when they presented themselves (the fourth and nine pass to Gronk being an example).
He wasn't trying to throw the game, but, IMO, he was playing to "win if he could" this week, while keeping as many piece of the puzzle as possible as optimal as possible for next week.