First off, you have zero circumstantial evidence that Aaron has gotten any inflated balls past the officials. In addition, the home team supplies it's own balls, and the officials make the judgement on whether or not the ball is compliable. From there, if the referee feel's the ball does not reach it's requirements, he or she have the right to obtain a ball from the visitor's side and find the best possible ball for play. The referee then gives back the ball's back to the respective teams before game time.
http://static.nfl.com/static/content/public/image/rulebook/pdfs/5_2013_Ball.pdf
Now where your specific argument falls to pieces is that, once again, there is zero evidence suggesting Rodgers had people take the ball's into the bathroom AFTER(this is key) getting them back from the referee, and deflating them. That's the whole issue that you just fail to see, my man.