Not to mention a couple of other things:
College:
Maye: 302 rushes, 1,209 yards (4.0ypc), 16tds in 30 games
Allen: 237 rushes, 767 yards (3.2ypc) 12tds in 27 games
The idea that Drake Maye isn't as good a runner as Allen, and/or never will be, isn't tied to any reality I've seen. Maye was a better college runner at UNC (and passer) than Allen was at Wyoming.
Over his first 27 NFL starts, Allen was on the struggle bus throwing with 30tds, 21ints and a rating of 78.2. He became a runner during those two seasons, and put the ball on the ground 22 times during those 27 starts while figuring it out. Then they got Diggs, it opened up everything on the field, so his passing exploded, and all of a sudden, his new running ability was used as a weapon instead of a break-glass-in-case-of-emergency option. That first season with Diggs was his best season in the NFL as a passer, and got him 2nd in the MVP voting with a 107.2 rating (he's never had another season over 96.6), but coincidentally, it was by far his lowest rushing season of his career (only 102 attempts for 421 yards, but the 8tds).
IMO, Drake Maye is a more gifted runner, he's faster than Allen (4.60 to 4.75 in the 40), and more agile, whereas Allen is more of a straight line, break tackles/bowl guys over runner, as you mentioned. You won't see Allen allude guys like Maye did on that play last week, but you might see Allen break those tackles and make the throw.
I do agree that I want nothing to do with seeing designed runs for Maye this season, but I imagine we'll likely get plenty. Football coaches and football players are gonna coach and play the way they think they need to in order to win games and given what Maye is working with, him running the ball might be the most profitable offensive plays on the sheet.