Yes, "do this or you're fired" is a coercive tactic. People who are pro-vaccine want everyone to get the vaccine. They believe it is a matter of life or death (frankly, I agree with them, but I am trying to present this neutrally). So that level of coercion, "fear losing your job if you don't do this" is exactly what I'm talking about.

If people could be persuaded to do things that are in their interest via rational discourse, and evidence favored vaccines, it wouldn't be necessary to do that kind of coercion. (Nor would it be necessary to so strenuously resist getting them, you'd just say "here is the evidence I don't need to get this," and everyone would accept it and let you live your life.) That's my whole point.