I understand what you’re saying about a problem solving mindset, but that is not the issue in burnout. The issue is unrealistic volumes and deadlines that encroach too far into the rest of your life.
Personal boundaries exist in medicine, in fact they are essential to surviving a career in medicine. There will always be more sick, injured, and dying people. The hospital has the mission to save them all if it can. An individual doctor or nurse has to understand that they personally cannot. Or they will burn out very fast.
Overworked tech companies could benefit from some perspective from the medical field. Is someone going to die if your feature misses its ship date? Probably not. People die in ERs every day, but guess what: ER staff still work a fixed set of hours, take vacations, etc.