I can start off, and then perhaps other people might want to offer other comments.
I'm one of those 40% of physicians who are considered to be in administrative positions. Most of those 40% are in fact less administrative than my position. You could call them medical supervision, medical policy development, public health related positions. I have an entire directorate devoted to public health.
Similar to a medical officer of health in a city, these people do not see patients on a day-to-day basis. They are busy worrying about issues of public health policy and program implementation.