"An Alcoholic is someone who drinks as much as his GP." The deaths of cirrhosis amongst doctors is higher than that of the general population. Scary, in practical terms there is a good chance that I or someone who I'm friends with at medical school will get addicted to alcohol.
I can totally understand the articles point of doctors being unwilling to seek help when they need it. Alcoholics are stigmatised by the medical profession, so knowing this and seeing it first hand, why on earth would you own up to it?