Dont confuse hospitals with practices that may operate out of a hospital but is seperate. Generally hospitals are for emergencies or overnight stays. And yes one might expect overnight stays at a hospital to increase in price.
But we are talking about general practituoners. They arent hospitals, they arent even competing with hospitals. Theyboffer entierly unrelated and isolated services.
Its like arguing a tax on apples would cause an increase the proce of 2x4 because they are both something a construction worker might buy.