I've always found the aviation/anesthesia association to be loose at best. Where they intersect is pre flight/induction check list - attention lapse, but I think after that there is pretty significant disparity, not the least of which is because the anesthesiologist doesn't die with the soul in his care, nor does anyone else die or get injured in the event of catastrophe. We could just as well say our job is as associated with the rail road industry. Aviation is just cooler.
Add to that the fact that in no case would a commercial airline pilot take an airplane into the air with a less than 40% chance of landing the aircraft, while we accept risk like that for the patient not infrequently with the best of intentions. And passengers don't die a month after a flight because of what happened on the flight (ordinarily). It's a completely different mindset.
Cardiovascular collapse and lost airways 2/2 morbidity and inattention are why people are injured and die in our hands but there are orders of magnitude more reasons why airplanes crash. The aircraft is the pilot's patient and there is vastly more variability in airframes and the conditions in which they operate than human beings even with our diverse pathologies. And we've been studying humans for far longer than airframes.
I suppose there is the flight attendant/nurse association, but I shan't go there...