"That type of person" accounts for some substantial fraction of the vaccine-hesitant population that accounts for freely available covid-19 vaccines for everyone age 12+ in the US but only 51% of the population being fully vaccinated[1].
So, even if you consider it absurd, this particular belief IS widely-enough held to influence behavior and public policy in the US.
The vaccine-hesitant people I know are waiting for the live attenuated virus and/or FDA approval...
Please show me where it lists the reasons for not vaccinating on the page you linked, as I only see numbers on whether or not people are vaccinated. As it stands, your claim has zero statistical evidence to back it up. In fact, your link has zero relevance to your claim in any way.
So, even if you consider it absurd, this particular belief IS widely-enough held to influence behavior and public policy in the US.
[1] https://covid.cdc.gov/covid-data-tracker/#vaccinations_vacc-...