>But I stick to my point that healthcare is a product and the only nuance is who is paying.

We also have a right to a certain amount of security. That's why countries have armies and police forces. Those (ideally/theoretically) exist for defence and to maintain orders so citizens can pursue happiness and not get raided by hordes of barbarians or assaulted or what have you. That's what government are supposed to exist for. As a society we decide that something is important for everyone, we put our money in a big pool and we use the pool to ensure that the underlying right is secured.

It works for the army and the police in the US, it also works for healthcare elsewhere.

Of course it's not free and someone pays for it. Same as roads and fire stations. You don't pay when you need them, they're paid for from taxes because they help society function (and healthy citizenry can be argued to also do that).