Does he though?! If you really watch both of them closely, over multiple games, you see that they both have an offensive flare for the game, just in different ways.
To your point of Stutzle's offensive feel over that of Byfield, I would actually say that Stutzle is less so equipped in that facet of the game.
Stutzle seems to want to do things at such a high speed, that he seems to forget sometimes about his teammates. He will drive the zone, then have to shift, turn, cut and loop in order to evade the pressure in order to hopefully find an opening. When he does, it looks magical, but he also lose a a lot of opportunities because of this.
At the NHL level, he isn't going to have all that time and space to work with, and this is absolutely something he can work on once he has a feel for the NHL, his coach and linemates.. It's just something that is still a work in progress.
I'd argue that Byfield, is less flashy in this area, and this is where some say that he floats or looks lazy, but it's the contrary. Byfield seems to position himself properly, uses his reach to break up plays, and his body to cover the puck. He creates a lot of odd man rushes because of this (many say that he scores a lot on the odd man or break way.. But fail to say that he creates those chances).
Byfield too needs to work on his back check and using his body, not to hit, but to absorb pressure better.
I like Byfield currently in this area, in 5yrs it could be very close. Both are very good prospects, both need some work, I do however see Byfield as the better choice at 2 as of today.