As a WR, I could tell the difference in brands, wet, dry, cold and over/under inflated balls.
The refs aren’t handling the balls at speed, so wouldn’t notice anything and they aren’t really gripping them either.
My guess is the Pats like underinflated footballs, therefore use them, rules are for losers.
I think you nailed it.
Rodgers likes the football inflated more. Brady likes the football deflated more. The kickers like the football inflated a lot. I don't see the big deal in changing the rules to allow for "personalized" air pressure. It is entertainment, after all, and more scoring is exciting for the fans.