Health care in America is so expensive that people without adequate insurance can lose their homes and their life savings.
But people with no possessions can get care for free -- basically because they have nothing to lose.
On the other hand, people with wealth can travel to countries with cheaper health care. Poor people are stuck with what is here and within range of what they can reach.
In America, it is uncertain who makes the decisions about how much is too much when it comes to the cost of health care. In countries with national health care, the decisions are made by bureaucrats. Whenever such limitation-of-service decisions are made, those patients with wealth have the option of traveling to other countries for care. Poor people do not have that option.
In America, where some people have premium health insurance and others have cheap health insurance, those with premium insurance have the most to lose under a universal health insurance plan. However, because people with no insurance now get some health care for free and would have to exercise some health-care responsibility under a mandatory insurance program, you could argue that they lose -- at least from the standpoint that it will cost a lot less to care for them.