That particular anti-vax theory doesn't hold water when you consider that New Zealand vaccinated almost everyone with mRNA (Pfizer) prior to COVID spreading widely, with excellent results.
https://www.frontiersin.org/articles/10.3389/fpubh.2023.1085...
NZ cumulative excess mortality since January 2020 is still negative:
https://ourworldindata.org/grapher/cumulative-excess-mortali...