A handful of guys you listed above were better QB's than Tom Brady was in 2001.
He threw one TD and one INT in the entire playoffs. They ran the ball, played a conservative time consuming brand of football, kicked field goals. A bunch of these guys could have done that.
Like BB said, Tom didn't become Tom until around 2003.
I have to totally disagree with ya...
What separates the very best quarterbacks? Statistically, there are lots more prolific passers among Montana, Flutie and Brady's peers. Lots. Racking up stats. TD's. Rushing yards.
Indeed, you are spot on that credit is due to Weis (who properly ran the ball and protected Tom-Josh could learn a lot from that), the rest of the coaches and Tom's teammates.
But, a bunch of these guys...none of those guys...would have made those plays, time after time, game after game, under the most pressure, with the game on the line,
when they had to be made, while still protecting the ball, that season. Tom lost three starts all year: At Miami and at Denver, where the Patriots historically struggled for decades, and at home against the Rams, the best team during the season.
I think, a bit similarly, people like to talk about how much Drake Maye sucked in the postseason. I of course disagree...he made crucial plays for them to make it to Santa Clara in the post season, as he did during the regular schedule.
In fact I thought there was, in a sense, a dropoff in Brady's effectiveness later. At the end of That Horrible Game Which Shall Not Be Mentioned, the Pats could have tried to go down and kick a field goal to tie it up at the end of regulation. Instead, he threw the bomb to Moss. Not bad odds, but still riskier and less practical.
As the years went on, Brady was of course entirely in charge, maxing out his ability and effort - and experience - right to the end.