Sure we cheated, but we didn't need to cheat to beat you so you're the bad sport is a really strange way to talk about this.
Is it as strange as getting the living snot beaten out of you and then accusing the other team of cheating with balls that were checked and then checked again and handled hundreds of times by refs?
Is it as strange as getting beat when you were up by two TDs and then complaining the other team used totally legal formations?
Eja explained my point very well. The balls were checked and approved by officials before the game, both teams played with the same balls, the balls were re-inspected and re-inflated, then the Patriots go on to crush them on fair, even ground. That's when they take the complaint to the league. It's poor sportsmanship on their part and an attempt at defamation.
Not sure if I am understanding this the way you intended, but it sounds like you are saying the teams played the game with the same footballs, which is not true. Indy's offense plays with Indy's balls; Pats offense plays with Pats balls. So, assuming the Pats balls were deflated and Indy's weren't, the Pats offense had an advantage.
But would this have
really been an advantage? If Luck had his footballs at the psi he prefers (even if within the legal limit), then he's not at a disadvantage versus Brady. The NFL already leans towards this principle by allowing a
range of psi (without, I might add, giving any reasoning as to why "12.5—13.5 psi" is "proper" and why anything outside that is "improper"; i.e., it all seems arbitrary to me).
In other words, if both QBs are comfortable with the level of inflation in their respective footballs, there is no unfair advantage on either side, regardless of what an arbitrary and meaningless rule states.