I'm not trying to divert, I think you're just not understanding my position, hence your off analogy.
You have the right to arm yourself, however, that does not mean you have the right to a gun provided to you by the government AKA your fellow citizens.
In this same way, you have the liberty to purchase health care.
Now, you say you have the right to healthcare itself, which means it must be provided for you by your fellow citizens right?
Doctors, nurses, equipment, medicine must be paid for with something right?
So following your logic, this would mean that people have the right to other peoples production -> slavery.
That is why it cannot be a human right.