Look, this isn't complicated:
1. The NFL can do literally anything they want to the Patriots organization. Short of a lawsuit, the organization has no recourse since the Commissioner is given total control over punishment, and there is no option for arbitration/review.
2. The NFL doesn't need to establish "conclusively" that anything happened. This aint the Court of Law. They did a (Very, VERY) thorough report that included freaking science, math, and statistics, including forensic evidence of the phones, interviews. I mean, it was overkill specifically because they knew you Pats fans would be looking for any little thing to hold on to in spite of overwhelming evidence their golden boy is a cheat-ah.
3. Competitive advantage simply does not matter. Anytime anyone says : "its not even a big deal", or "That fumble study has been disproved", just remind that that it literally does not matter 1 single iota if it actually helped the Patriots/Brady. There is a rule. 12.5PSI is the rule. It sure seems like they were intentially circumventing that rule, knowingly. Then they lied about it. THEN, they did a sh!tty job of covering the cheating and the lie up, and got caught red-handed. OH, and then when they DID say anything, a guy making $10 million a year threw a couple $10/hr guys under the bus. Its pretty despicable.
So, as it always is, the coverup is many times worse than the initial crime. When you Cheat, Lie, Obfuscate, and generally treat people with contempt, do not be surprised when they give you the finger. And certainly, don't let your dumb fans twist in the wind, half-heartedly standing up for you for cheating, lieing, Obfuscating, and generally treating people with contempt.
It makes them look like idiots.