It would depend greatly on their age, I would posit for that those over 65, any drug that killed less than 10% of the people who took it would be acceptable.

Vaccines are part of a broader political debate, the problem in politics is people are picking sides. It's very rare to run into a person who doesn't support the vaccine mandates but did get vaccinated. People are generally either anti-vax & anti-mandate, or vaccinated and pro-mandates.

The antivax crowd uses the same persuasion techniques to discourage vaccination that media uses to convince young people that COVID poses any risk of mortality to those under 17. That is to say one or two extremely rare outcomes are trumpeted loudly in order to convince society at large of the danger that is virtually non-existent.