> At my Doctor's office, the doctors are scheduled for 15 minute appointments. at an optimistic assumption of 15 minutes travel time to and from each appointment, a model where the doctor visits each patient requires 3x as many doctors for the same level of care.

It's not "either/or", there is no reason not to have both systems running in parallel. I would have no issue paying a doctor more for him to come visit us at home, to ensure it makes it as profitable for them to do that.