I've had a bit to do with this space in the past, and it is worth noting that anaethetists are in the top few well paid medical specialist groups in the country for a good reason. There are so many variables that need to be taken into account with every procedure.I reckon it's an area the wider populace rarely have to consider and confront the associated risk.
The reactions you see when the anaesthetist says you could die from an intubation are pretty sobering for a lot of people.
Another thing that we don't hear enough about is the rate of accidental death due to prescribed opioids post surgery, particularly minor surgeries. I'm not pointing the finger at specialists here by the way. It is getting close to the major cause of accidental death in many cohorts, particularly middle aged men.