In order to do this you have to lean the top half of the body out over the plate. As you have pointed out if they just pivot they are literally just in the batters box (and stabbing at the outside pitch).
I'm not sure this is a good idea.
My DD's college team had a specific play if the batter leaned over the plate. My DD threw directly (do not pass go) at the batter's head. It wasn't a called play...she was just supposed to do it.
The catcher would pop into throwing position. The batter would duck, or dive for the ground. The catcher would have a good chance to throw out the runner. Even if the runner was not thrown out the batter was much more careful about leaning over the plate.
I saw my DD do this once, before facemasks on batting helmets. Scared the batter half to death. The batter never got close to the plate again.