Quibble, surgeons are not the ones doing this. Surgeons' schedules are generally permanently full. They do not typically deny people lifesaving medicine, on the contrary they spend all of their time providing lifesaving medicine.
The administrators who create the schedule for the surgeons, are the one denying lifesaving care to people.
If all of the surgeons' schedules are full, the administrators are as innocent as the surgeons.
Surely they could volunteer to do some charity surgery in their own time. They aren't slaves.
Triage, whether by overworked nurses or by auction or by private death panel or by public death panel, is not necessarily a problem created by administrators. It can be created by having too few surgeons, in which case whatever caused that (in a time of peace, no less) is at fault. Last I heard it was the doctor's guild lobbying for a severe crimp on their training pipeline, in which case blame flows back to some combination of doctors and legislators.