What's odd is that BB doesn't even seem to pay attention to the offense. How many OCs has Brady had? I guess Brady probably is the OC.
That team may shit the bed for a quarter or sometimes a half, but how often do they piss away an entire game?
Belichick cut his teeth as a defensive coordinator, but he clearly had a vision of what he wanted from the offense, and the carousel of OCs has run it. I don't think of any of them as being brilliant offensive minds. McDaniels and Weis, their time away from the Pats was unremarkable at best. O'Brien has done a solid job of righting the PSU ship, but I still think Belichick implemented a certain philosophy and then the OCs carried it out.
Think of the shift in offensive philosophy from 2001 to the present: then, you needed a strong running game, a balanced game, to ensure defenses couldn't zero in on the pass; Belichick basically said No, you don't.
The Colts, after Edgerrin James left, basically agreed with this and said fuck it all. Belichick went one further. He said, I can succeed with a bunch of B-list WR talent.
Sure, he brought in Randy Moss and Chad Ocho Cinco, with varying degrees of success, but well after both had seen their peak years: we've even talked about how conceited Belichick was in thinking he could rehab every basket case in the NFL (Haynesworth). The offense evolved from short, high-percentage passing to more wide open, from smallish WRs to again going against the grain and loading up on big TE who could catch. And it should be obvious to anyone who's hated the Pats through the Brady era that there's a very high degree of discipline to that offense.
So yeah, the offense has Belichick's imprint all over it, from the various against-the-grain conceits to the anal-to-the-nth degree discipline of execution. Brady may have been the perfect QB to run it, but he might not have had the same degree of success under other coaches, if he had ever gotten the chance to start at all. JMO.