Ah, got it. Have capitalistic economies do the work and through socialist parasitism redistribute under fairness and best for society. Genius.
How can you say capitalism is best system then turn around and say that it is the worst for healthcare?
Nope, the idea that an economy could be pure capitalism isn't grounded in reality; all economies are mixed ones. Capitalistic economies with a strong socialized safety net is by far the preferred system, as evidenced in how it has triumphed over all the other ones in the marketplace of ideas. That's why I compared capitalistic economies to communism, not to socialism. Not to mention that everyone is to some extent a socialist, even you.
While capitalism is broadly the best means by which to run a system, there are numerous cases where that's not the case. Utilities are a good example. We don't want or need private companies running competing sewer lines, roads, etc. Furthermore there are some marketplaces where capitalism simply fails, and health care is one of them.
Medical costs are both extremely high and extremely unpredictable, therefore insurance of some sort is absolutely necessary. Nobody is paying for their brain surgery out of pocket. There are also large disparities in bargaining power information, etc that prevent a free market system from functioning. Sure you can shop around for a doctor's office visit, but if you're bleeding profusely from a gunshot wound you don't have that luxury.
Are you really so naive as to think that because capitalistic competition works for many things that it would have to work for everything? Absolute silliness.