How does a high gross domestic product (gdp) affect health care?

I have not read about the connection between GDP and health care, and I thought maybe I could spot the connection by looking at a few examples.  So I did that, and it seems like countries with lower GDPs have health care that is more available to their citizens.

-- "Universal Health Care" means the nation's health is paid for out of everybody's taxes, and when anybody in the country needs care, they get it for free.

Some of the countries with UNIVERSAL healthcare include Belarus, Croatia, Czech Republic, Greece, Iceland, Ireland, Italy, Luxembourg, Malta, Moldova,  Portugal, Romania, Russia, Serbia, Turkey, and Ukraine.

None of these countries has a world-class, super powerful economy, or a gigantic GDP.

-- However, with the titanic, world-leading, awesome GDP in the United States, people who can't afford to pay through the nose for health insurance have to get along with health care that's less than the best, and many people can lose their homes and be financially wiped out by a serious injury or illness in the family.

So it certainly looks like the relationship is mathematically reciprocal . . . The richer your country is, the more you need to worry about health care.