In one word: predictably.
I think you capture the fundamental issue: who cares what they think? Objectively, we should care less about what they think about covid-19 than any other group because of their track record of scientific illiteracy on the precise subject under discussion.
Aside from anthropological and related disease mitigation strategies, what anti-vax people think about this is not worth a second of attention. The odds favor that objectively ignorant people will continue to make poor assessments based on facts.
edit: thankfully it is flagged.