Besides,“skeptic” is something you apply to your own life and decisions, it’s a filter for what knowledge is useful and what is not useful. The “skeptic community” leads to right-wing MRA creeps like Dawkins and Hitchens in its own cargo cult.
Word choice (avoiding pejoratives) is not more important than having facts on our side, so all this tut-tutting is pretty irrelevant when their basic premises for feeling “skeptical about vaccines” are science-free and expose a base misunderstanding of the vaccine “injury” database.
But expecting them to understand the difference is pretty silly for any Antivaxxer/Vaccine truther, whatever they call themselves these days.