I think the bigger point is the lack of trust in our public health rather than laying out the facts. The same way any person who is pro-vax will argue how beneficial it is, is the same way a person who doesn't believe it is beneficial to them will argue it out.
There is no one clear science, one clear truth to rule them all in this pandemic. This is the only truth I have come to terms with.
I see anti-vaxxers with their straw man arguments as just people who have no trust in the government and the health authorities. Can't blame them though, since the pandemic started almost 2 years ago, there is still a lot we don't know about it's actual origins.