Pats-Jets, October 16th, was a 27-25 win for the Patriots. Head ref was Bill Leavy, who's obviously worked in the NFL forever. He's from California, no connection to NY/the Jets/Goodell in any way.
There's nothing there, imo...the reason they were inflated like a balloon is because the refs generally don't care, maybe we squeezed a few of them and they felt low so he gave each of them a couple pumps. Gametime temp was 64 with 93% humidity, I think that heavy air would have impacted the psi in a positive (i.e. high/inflated) manner but I could be wrong.
Either way, that 16 psi Jets game isn't any kind of grand conspiracy imo.