I don't think this should be an issue. Ball-tampering doesn't really affect football like it does in baseball, where a little spit or scuff can make a ball do things that no batter could be expected to anticipate. In football both offense and defense are trying to catch the ball so anything that makes a receiver's job easier also makes the back's job easier. The only situation where the two would be comparable would be if you had the kicking team oiling/lubing up balls prior to kickoff to increase the likelihood of the receiving team fumbling on the return. That's a change you can make on the ball that would directly impact the other team. If you're already giving each side their own balls and letting them adjust those balls to their preferences, I don't really understand why a parameter needs to be established. Either do like baseball and have strictly regulated rules regarding balls (i.e. everybody uses the same ones; nobody gets to touch them before the game starts) or just do away with pressure regulations. The rules as they currently exist are rather nonsensical to me.
That being said, rules are rules. If you break them and then lie about breaking them, you should expect to be punished for that.