There are plenty of avenues to overrule someone's medical decision. You could require vaccinations for school or even get a court order to overrule a clearly bad decision. None of those are "you made a bad argument so your kids are now subject to my decision-making process instead of yours from now on."

A super-majority of doctors don't understand the math of the screening tests: https://www.sciencenews.org/blog/context/doctors-flunk-quiz-... Can we say doctors aren't allowed to math anymore?