Unwarranted assumption alert...
Bingo! I am a Giants' fan, but I am also a math guy who doesn't like to see statistics being misused. Perhaps there are reasons other than cheating to account for the Patriots' low fumble rate. Maybe Brady's quick, short passes and excellent decision-making allow him to get the ball out of his own hands quickly, thus reducing the number of strip-sacks, a very common means of turning the ball over. Maybe Belichick stresses ball security more than most, and makes that a priority when finalizing his roster.
A normal distribution would not result from superior coaching, play calling or quarterbacking. Those are not random aspects. Now, if I find that New England wins the coin toss 90% of the time, I'd believe all of the "cheating" hype.
I will never understand the vitriol so many Giants fans have for Belichick. He single handily won you a Superbowl against the Bills.