Oh come on. Even before the pandemic your typical anti-vaccine person also wasn’t universally against all vaccines. They usually had some subset that represented their favorite rationale for not getting it: those containing substances they don’t like, those developed with a process that had a fetal cell line somewhere nearby, those given in clusters in early childhood instead of spread later on, etc. Anti-mRNA vaccine sentiment is just another instance of the same thing. Sorry if they feel sad for having that label, but it’s the same behavior.
If they aren’t universally against all vaccines, then why is the term “anti-vaxxer” applied in deragatory ways? I was under the impression it meant they were afraid of all
Portions of what you mentioned seem like reasonable concerns to the average layperson