“You guys are serious global warmers. Just substitute climate denier for anti-vax in these assertions and its plain as day.”
You have it ass backwards. The anti vaxxers are using anecdotal “evidence”. They spread the ignorance through social media and rock star and actress wives. In this case it is also enjoyed by backwards faux conservatives who also believe in fluoride in the water as a plot and see anything anti government as automatically smart.
A serious anecdote about the effectiveness of Vaccines: WWI was the first war in which the major powers involved had more casualties due to enemy action than due to illness.
Go look into the records of any western army from ~1870 to 1914 and compare the numbers dead or medically discharged due to Small pox, measles, mumps, or whooping cough at the beginning of that period to the end of the period. Most armies tried to keep good records of the soldiers and what happened to them.