Disclaimer: I have not read all the contents of this thread.
I do not believe that access to healthcare is a universal human right. I do believe that universal access to healthcare is a good societal virtue and thus am in favor of some form of universal healthcare in America.
Separately, I would like to point out that America has universal access to healthcare. By law (EMTALA), no ED can turn away service for any individual who presents to them regardless of complaint* or ability to pay. Bankruptcy laws are also such that anyone doing so can have opportunity to financially recover to some degree.
I do not mean to imply that America has equitable access to healthcare. This is far from the truth.
My societal preference is that we continue to provide some version of universal access to healthcare. A true alternative to that would be abolishing EMTALA. Otherwise, to my eye we unequivocally have a universal healthcare system. An expensive, bloated, inequitable one, but universal nonetheless. Therefore, I think we ought to see our task as making universal access to healthcare cheaper, more efficient, and more equitable.
*Under EMTALA, a hospital can refuse to provide services to a patient based on their medical condition, but to do so they must rule out the existence of an emergency medical condition, and this is done by usual patient assessment protocols. Thus, if you walk into an ED for a papercut, you will (eventually) be seen by a clinician to hear your story and verify that, in fact, your papercut isn't an emergency.