That first part is just not accurate. There's plenty of data that shows the O carrying or exceeding its own weight during the 1st dynasty. It's a myth that the D carried Brady during the 1st half of the dynasty.
The Defense and offense worked hand and hand.
01 Patriots
16-13 over Raiders offense pulls weight
24-17 over Steelers. a blocked kick returned for a td and a punt return for a td. Yeah, we needed the defense/special teams group for that one. Offense pulls weight
20-17 over Rams. A interception return for a td. Forced fumbles, Again defense is important. Offense pulls weight.
03 Patriots
17-14 over Titans. Shut down Co Mvp. Offense pulls weight
24-14 over Colts. 4 interceptions, 4 sacks and a safety by the defense. 5 fgs from AV. Offense pulls weight.
32-29 over Carolina. Barn burner. Brady arrives and puts himself in elite category.
04 Patriots
20-3 over Colts. Shuts down the 49 td thrower. Asante drops interception in end zone that lost shutout. Go figure. Offense pulled its weight.
41-27 over Steelers. Obviously offense is clicking and defense is doing what it can to avenge the Halloween loss.
24-21 over Eagles. Great game offense did what was needed, defense forced turnovers. And Andy Reid and clock management wins the day.
2001 Defense 5th in points allowed
2003 Defense 1st in points allowed
2004 Defense 3rd in point allowed
2001 Offense 5th in scoring
2003 Offense 12th in scoring
2004 Offense 4th in scoring
At the end it doesn’t matter because it was the perfect storm. I didn’t even get into the plus minus because it didn’t bode well for the rest of the league. Tbh though, I never saw the offense exceeding it’s own weight. First half was primarily defense. But it’s mute because Brady was always able to score more points than the other team when needed depending on the circumstances. That’s why it was a dynasty. A combination of players and coaches doing the job.