Over the last 30 years, the Patriots have built their offense around a stationary pocket passer.
Save for the one year with Cam Newton, who wasn't at the peak of his former MVP powers anymore, New England's offense hasn't benefited from a mobile quarterback. It seems silly to lament that their QB1 wasn't a runner when the GOAT mastered playing from the pocket. Still, you always envy what you don't have.
Schematically, the quarterback being a dangerous rushing threat allows the offense to truly play 11-on-11 against the defense: the defense has to account for the quarterback in the passing game, and there are box count advantages in the run game, which we saw on some levels with Newton.