Picking Brady in the 1st round of 2001 would have been a huge "reach" based on what was known about him then -- and of course unnecessary.
Even after 2000 training camp, Brady was still the #4 QB on the team. More impressive than drafting him in the 6th round was keeping him as an unprecedented 4th QB.
Obviously, going with Brady over Drew and staying with him when Drew came back is much to BB's credit.
And almost no one credits Bill with going for the score with Tom at the end of the 2001 Superbowl. That was a controversial coaching decision, as John Madden indicated at the time.
While I agree that drafting Brady in the 6th round was mostly luck, all those other decisions were crucial ones made by BB.