Do doctors who travel by air have to surrender their black bags as checked luggage?

I read in today’s paper about two vacationing cops who had to subdue a dangerously out-of-control passenger during a long Pacific flight, without any of their usual gear. They responded to a call for any law enforcement officers on board, just as a situation might produce a call for a doctor on board.

If a medical emergency did arise in flight, would a doctor traveling these days have his or her black bag of basic equipment at hand or not?