Well, yes, that's what I was getting at: Freedom cuts both ways here. If you choose to not get vaccinated, others should be allowed to, at the very least, choose not to have you around. Immunity is not a private belief, but has severe, sometimes existential implications for other people.

I assume, it's pretty much the same with guns in the US. You are allowed to own them, carry them, but not allowed to bring them everywhere, if someone's ruling within private jurisdiction forbids it.