I would personally vastly, vastly prefer to go to a robot doctor, who diagnoses, treats and nurses me. What exactly do I need from a human here? Except of course being the one making the system.
Emotional support. Some human doctors absolutely radiate confidence and a kind of "you're gonna be okay" attitude. For me, this helps a lot. I'm not sure a machine can do this.
But I hate if the human doctor "radiates confidence" when I know he is not doing the proper scan, because I have to get back with worse symptoms first for him to take it serious. I don't need emotional support from a human doctor. I need the adequate scans and a proper analysis. I am pretty sure that a competent human will be still way better than AI, but AI even now will likely be better than a doctor not really paying attention.
