Not sure what you have seen during college or post college to determine that one Qb is a game manager and another other is not. The physicality prism?
All the Qb can do is to see where to throw the ball, then throw it there accurately. The WRs have to go unscripted too, and find an open spot, or a spot that he can be lead to.
After 5 seconds from the snap of the ball, whether the Qb makes that decision and throws the ball from the pocket or by running to the right hash mark doesn't matter, other than being on the right hash mark provides half as many opportunities to see where to throw the ball and throw it there accurately.
If unscripted means that my $125 mil Qb is carrying the team by making 25 yard scrambles for TDs, and is treated as a runner, I don't want that. Its pretty to watch and nice to have, but its not really what the Qb position is about, IMO.