Or would the center be at the ball and do a short long snap to the backfield?
What would be considered a "standing position"? I guess both feet on the ground, can't use hands or arms to brace against the ground or self.
There are some side effects (goodbye tush push) but it drastically reduces helmet contact for those 8-10 players every down.
And indeed, disallowing brace against ground is all you'd need to get the standing result.
The game would change but I don't think it would be existential, more of an evolution. It may even make it more fun to watch. Speed becomes much more important as does general athleticism.