It certainly does. You, as a sovereign individual, living in a free and democratic society, have an absolute right to refuse any vaccine ... of course your employer or an airline or a merchant has a right to refuse to allow you to continue at your job or take a flight or even enter their shop if they are convinced that the vaccine is necessary for the health and welfare of their other other employees or patrons.
It's not so much a connection as a dividing line, and where that line falls varies with each individual. With a representative form of governance, we delegate the locating of that line to those whom we elect.
This. Nobody said we have to get a vaccine (for Covid, or measles, or polio or any number of infectious diseases), just we can't do public stuff without. Don't want your kid to get 'the shots', you are free to home school.
But in a civil society, we don't get to individually or temporally decide that. Your right might be my wrong; who gets to arbitrate that, particularly when your right collides with my wrong? Do we go back to duels? That's why we have governments and courts.
