Another thing to consider is that the formative experience Brady talks about, aside from wishing to have the treatment of game balls placed under the teams again, are his comments about the 16 PSI game balls they used.

I think the story was that the Game Official found them low (or this was back when the Officials controlled access all the way through) and reinflated them well above the current standard.

So to pull a Brady or Rodgers (tempt fate with blow min or above max) inflation game is dangerous if the effect is to put the Officials back in charge of inflation.

Its also why you might want a second visit with the balls after inspection.