The way I see it with physicians is that I want one with whom I have a long, close professional relationship, someone who knows my medical history well. That's who I see when I'm really ill. I went to primary school with my GP.
I attend the local walk-in clinic when I have the flu and just need a few days off. My regular GP is kinda busy and the flu is the flu.
As for a DAME, I just want the box ticked. Probably the less s/he knows about my personal life and habits the better.