I don't know many people who are "against" the COVID vaccine. Most I have spoken with agree that those who are at most risk from the disease should take it. They are not concerned with the decisions others make and have never called for the vaccine to be "banned". However, they have declined it for themselves. Hence I would say "Covid-vaxx-decliner" is a more accurate term.

Also, would you say that religions that prohibit a certain meat (e.g. pork for Muslims) are "anti-meat"? If I don't like tuna but like haddock, am I anti-fish?