Quite a few poor people still die from not having medical attention where a king would almost always have a personal physician at his side - a king of old would have a much higher chance of survival from a wound that would kill a modern poor person who couldn't afford medical care.

I don't think you can prove that assertion. The personal physician to the King of Olde would not know about Germ Theory, nor about the importance of basic hygiene and cleanliness. A modern poor person at least has a chance to learn about such things, and there is a significant number of people who provide medical care for free to those in need.