What does it matter if they have insurance, or cash for a copay? Public hospitals are required to treat them, with an extremely high standard of care, regardless of their ability to pay. Not only do they not need to pay to get care, but they don't even wait longer in the ER; ER triage (at least, where I've asked, but I assume this is true everywhere) is need-blind.
Those same hospitals are also incentivized to rush an uninsured patient out the door as soon as possible. Serious, painful, but not immediately life-threatening problem: give a random diagnosis and tell them to follow up with their nonexistent primary care doctor as soon as possible, and escort them out.
In many states in the US, Medicaid or other insurance is not available to the homeless or indigent, not unless you have a disability diagnosis from the doctor you can't pay to see, and can get the necessary help to have that diagnosis recognized legally by the government. Otherwise cursory, rushed visits to the free clinic and ER are all that's available.
Hospitals may be as minimally need-blind as required by law (if that, its not like the homeless can sue), but they only offer just that. The number of options and quality of medical treatment is vastly greater for those who can pay than for those who can't.
I doubt very much that the president would receive the same level of attention and prioritization at an ER as a homeless person, but even if you substitute a wealthy person in 1960 for the president you're still wrong.
Let's say that the homeless person develops a form of cancer that was incurable in 1960 but can now be treated with a very low rate of recurrence with chemotherapy. Your point, I assume, is that because this new treatment exists, this homeless person will receive better healthcare than anyone in 1960. But that presupposes that this homeless person has access to that treatment, which means that they need reliable transportation to a medical office on a regular basis for an extended period of time, they need someone to take care of them when they're really sick, they need some ability to get their medication and to take it regularly.
