The scientific consensus on issues like this as they emerge evolves rapidly though. And I think "degree of uncertainty" is something that is lost on educated lay people when they try to keep up to date with the science. Just look at the messaging surrounding masks in March 2020.

Public health issues are further complicated by what messages are thought to result in the best population behavior. There are articles in medical journals discussing the issue of people refusing to take the less strong vaccine, it is an entire topic of research in itself how to communicate with the public. It is not out of the question to strategically spread somewhat false messaging, like "all the vaccines are the same!" when obviously they are not.

Finally, this kind of thing is always going to involve value judgements that don't have an objective answer. How different is death of a 20 year old vs death of an 80 year old? How do you compare side effects like partial paralysis vs permanent lung damage? They are apples to oranges problems. But in cases where we have to act cohesively as a population, a judgement has to be made by someone. Plus in general I think medicine tends to not trust people to make their own well thought out decisions, for better or worse.