The air in the shuttlebay can only move 6,000 tonnes, its own mass. It might slightly ever nudge the ship a teeny, tiny, iota of a bit. But certainly not to move as much, or as quickly, as we see it move in the episode.
You are aware that the maneuvering thrusters can also move the ship, or are you of the position that they generate four and a half million tons of thrust?
The facts of the episode is that solely through venting the main shuttle bay the Enterprise moved far enough in the given time availible to avoid the collision.
And in a zero gee environmet you actually don't
need one to one thrust to move something.