My big problem is till....he played worse with the under inflated ball/s.
My second proble is...If they were ALL underinflated....you better look at the mechanics of this.
No. It does not.
The officials weighed the balls before the game. The ref is not ordinarily going to squeeze a ball hard enough to definitively determine that the ball is under-inflated. These balls were so seriously under regulation that officials notified the NFL. It was the NFL's decision to allow the game to continue, and to re-weigh the balls at halftime.
The Patriots cheated.
The refs did nothing wrong.