The NFL did do that but when pressed on it, they claimed that they did it for internal reasons and that they didn't keep the records. So basically, the checks showed that they were the buffoons we all knew they were, so they didn't feel like saying it out loud.
All in their efforts to smear the New England Patriots.
Sometimes I wonder if this will change when Belichick retires but I'm guessing that it won't. The only way the biased replay officiating goes away is if the NFL moves that replay office out of Jets/Giants territory. There is no way the Patriots are going to get a fair review from any Jets fan.
BTW - Google images of "low tire pressure cold temps" and you'll get hits like this: