I have left it ambiguous on purpose. What this means specifically depends on the means available at any given time.
IDEALLY: Universal means everyone should have a right to as much health service as is necessary for their bodies and minds functioning as well as it can, if they ask for it. That would include education, coaching, and sports, among many others. And nobody should ever be allowed to die if they don't want to and there's any way of preventing it.
Between "leaving anyone to die because they don't have the money or assets to pay for their treatment"[your question puzzles me, what part of this scenario don't you understand] and "spending all our country's budget on progressively changing the organs of seventy-year-.olds", there's a lot of intermediate points. The touchy problem is deciding how much we want to pay for, and how, and who pays it for whom, No matter how you cut the cake, given our current state of development, at some point you have to say X person dies in spite of their will because either they can't afford to live or because his can't". So, are you* going to deny that seventy-year-old their new organs?
what part of this scenario don't you understand
Resources are limited and medical demand is not. The medical response time if the President of the United States gets shot is less for than if anyone else gets shot. It's not possible to give everyone as much health protection as the president. So it's not a scenario. I can imagine each person as being the only person on earth with such care, and I can imagine imagining a single hypothetical world has each person with that level of care, but I can't actually imagine it.
...there's a lot of intermediate points
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