Because as citizens they have every right to access healthcare as much as the person who took the vaccine. Unless, of course, you'd be down with the idea of excluding healthcare for anyone who smoked, drank, used recreational drugs, ate too much, and became overweight or obese... do you see how that kind of thinking can easily come back to bite you?
Those who are outraged by anyone who chooses not to be vaxxed, do so because of tribalism, IMO. It's an "us against them" calculation. The idea that one can easily lump tens of millions of other Americans into a one-size-fits-all definition, is silly. No doubt, some do make the decision not to get injected simply because they're being told they "have to". IMO, the greater number of those experiencing hesitancy today are in doubt because they cannot trust government or media sources and the ever-changing info that's being offered.
When, in addition, they see some of the people on the Left literally mocking those who become ill and die, it becomes even more difficult to trust any of their spokespeople.