Don’t see your logic here. Doctors do not perform abortions in hospitals for free. Their not being performed in hospitals places a stigma on the procedure. Doctors so dislike doing this procedure that Planned Parenthood is now trying with the help of its political allies to make it a mandatory part of medical training. A pro-life person could then no even become a doctor or a nurse without going against conscience. Do you really want the routine destruction of life to become part of the mission of a hospital?
When abortions were performed in hospitals it was always reviewed first by a board of physicians to ascertain whether it was necessary - to save the life of the mother. This was long time ago, prior to the 1970s. Abortions were few and far between.
It was due to the adverse public reactions to anti-abortion demonstrations at hospitals which caused them, by and large, to drop performing ALL abortions. This included even those necessary to save a woman’s life.
My nephew would not exist today if his mother hadn’t had her life saved by such an abortion five years before he was conceived.