Lleauaric, I believe you're wrong. If you re-listen to Belichicks interview, he says they prepare the balls which they found raises the PSI 1lb, they then present the balls to the officials and ask for them to be set at 12.5, he then says he doens't know if they do it or not. If the air is heated from the buffers an is an artificial 13.5, when 1lb of the heated air is let out this will drop them to an artifical 12.5. When that air reaches it's 70 degree equilibrium they will be at 11.5, and could then fall depending on the weather, atmospheric tempatures.
I'd imagine we'll find out it's common for most footballs and rarely if ever do the refs check the balls after the games.