My original point was - that the unalienable rights according to an atheist are NECESSARILY made up by human beings.
I think you're confusing how we determine which rights government will recognize and protect, with the existential nature of those rights in the first place. The whole point of the concept of inalienable rights is one of categorization. They're specifying a type or right, in particular,
rights that require no grant from anyone else. These rights aren't 'made up' or designated by anyone. They're infinite in nature and consist of anything and everything you might choose to do.
This distinction is wholly pertinent to the concept of health care as a right, because health care could never be an inalienable right. It would require the active participation of another person. Inalienable rights do not. You have them as long as no one else violates them. You have them even if no one else but you exists.
Health care, by definition, involves someone else taking care of you. Our government was not set up to protect this kind of 'right'.