I believe Brady has proved that he had no motivation to underinflate footballs.
I think his issue was with overinflated footballs.
___________
Your comment is not totally understandable.
The official rules of the National Football League require footballs to be inflated to a gauge pressure between 12.5 and 13.5 pounds per square inch (psi).
Brady prefers his game day balls toward the LOW side of that scale.
Now, why did you choose to say, "Brady has proved that he had no motivation to underinflate footballs"? He likes to throw the slightly underinflated footballs (on the low side of the scale).