Yep. 6 years of medicine at uni, 3 years as a junior doc, 7 years of anaesthetic training then a consultant. You'd do more for murder.
We usually tailor what we say to the risk, so a crook patient having a simple procedure might be told they have a risk of dying, but I wouldn't say that to a healthy patient having a minor op, because it might scare the bejeeesus out of them. If they asked, I'd be honest by saying the risk of dying from the anaesthetic is much less than the risk of dying in a car accident by a factor of thousands.
But, for any patient having hear or brain surgery , the risks are higher (maybe a few percent to 50 percent depending on the patient and the op), so it's important for the patient and the family to know.