Well, my point wasn’t which Creator they were referencing. My point was that they were acknowledging that these rights were inherent in men. They superseded things like governments and kings.
Clearly, the signers of the Declaration supported the notion of natural rights. And only a natural right can truly be unalienable.
Your statement that a right can be unalienable “if society protects it” is a non sequitur. What if they don’t? Unalienable means that it’s not even possible to separate the right from the man. As such, if a man is denied access to his unalienable rights, then he has necessarily been done an injustice. Neither a legislature nor a king has the moral authority to deprive him of it.
Because healthcare can and must be denied, it cannot be a right. And you’re demonstrating this pretty well (albeit unintentionally) by noting that it’s a right “to a level.” What level? And who gets to determine what that level is? Can two different arbiters reach two different conclusions in equivalent circumstances?
Could the level be zero? That is, after all, a level.
Don't we ban people from a lot of guns, does that mean since they "can and must be denied" they are not a right? Same for speech, one cannot threaten or slander.