Depending on how much of a nerd they invite you to be about it, all rights (and all life as members of a social species, really) require the labor of others to uphold and defend / perpetuate the continued existence of, but since usually this is more about some idea of doctors and nurses being forced to work without pay, usually it suffices to just point out that medical staff is still compensated in every nation with public healthcare.
More broadly though, I prefer to dodge "rights talk" entirely. "Is this a right? What about this?" I don't give a shit, rights are made up, and often the "rights discourse" serves only to distract from the more useful discussion of whether or not something would actually be good policy or not. Forget "rights", just consider: how much do you want life to suck ass to live in?