One could more reasonably argue that food, water and shelter are more critical to human existence than is health care. But you haven't yet placed your marker for government providing food and housing to the tune of 2/3 or 80% some other arbitrary amount.
Why not?
So why have you bought into the notion of health care as a right?
Health care, like food, water, shelter and, in a modern society, education, are fundamental human needs. These needs can't be overridden by rhetoric. People get medical care, and live longer, or they don't, and suffer horribly and die sooner. Illness strikes randomly and is no respecter of class or income or age.
The nature of it makes it such that government is best positioned to provide the ultimate safety net so that nobody goes without insurance for the care they need. Only government can provide it for those people for whom providing medical insurance is not profitable.