You cannot divulge personal medical information to anyone. The Dr and hospital will find themseves in deep shit. Dead or alive. It doesn’t make any difference.
I work in a hospital and my group has access to medical records. I can cite a couple of examples of “famous” people that came into our Emergency Department. Everyone knew they were there. No one talked about it.
That post didn’t seem to tell much more about the patient than I have hear from hospital spokesmen at press conferences in high profile cases where we knew who the person was and they described injuries an treatments.
Still, not disputing what you said.