No, surgeons do not. Surgeons do not operate every day. Surgeons are not hands-on with patients in the OR >90% of their work day, every work day. We are. I have not ever seen a surgeon in the OR at 0600 while I am setting up for the first case and those to follow, and I have not seen a surgeon in the OR between emergence of one case and induction of anesthesia in the case to follow, that is, unless they were breathing down my neck to "speed along turnover".
In an academic setting, a surgical team has multiple team members, several of whom are EXCLUSIVELY outside of the OR taking care of those patients. In the worst case scenario, scribbling "AFVSS ADAT" is the end product and is not really all that demanding.
NOW you're onto something. While you attempt to make a highly theoretical point about "what a physician does," you've missed the point that there are VERY FEW COMPLICATIONS FROM ANESTHESIA ALONE. Certainly not enough to warrant an "anesthesiology inpatient service" as you imagine one, and certainly not enough to entertain your arguments. And, in the situations that *I* have seen where an intraoperative or pertinent postoperative complication occurred, the anesthesiologist continued to operate in close consultative fashion until the complication was treated and resolved.
You won't know this because you're in ENT, but there are precisely two medical conditions which are "exclusive" to anesthesiology - malignant hyperthermia and pseudocholinesterase deficiency. Nearly every other perioperative complication, whether massive bleeding, surgical site infection, postoperative pneumonia, etc., has a basis in anesthesiology practice, but also has a primary surgical team (who, in the first place, requested anesthesia and incurred the surgical insult) to manage it.
Like it or not, there are specialties of medical practice that are essentially consultation ONLY - think radiology, pathology, dermatology, anesthesiology. That does not make individuals in those specialties "not physicians" as you would have it. And, like it or not, managing complications is not the only criterion for "being a physician," whatever that means.