Sam, Newbee, the point of a handshake is to forge a personal connection, albeit sometimes in a professional setting and in a subtle way.
The fact that some doctors shake hands at best proves that there is an opinion which allows it, but the discussion is whether that opinion is mainstream and should be followed, and if so, under what circumstances.
Health, the question being discussed is not whether it’s muttar to save a drowning woman, it’s what an be extrapolated from that din.