We don't keep up any relevant research to prove that out. Vaccine studies don't use placebo controls, meaning we only know how they compare against what is usually the last approved vaccine. If you tell people that we know for certain that more people would die today without a particular vaccine you're lying, we simply can't know that without testing it.

> And herd immunity protects those that can't be protected by vaccines, your "experiment" would put them at risk as well.

How can we know herd immunity works as we predict it should without testing it? Its an untested hypothesis, and that's totally fine if we're not willing to risk testing it. We can't act as though it is scientific fact at that point though, its a hypothesis that a large majority agree with but that has yet to be tested in any significant way.