How many people have been or are still worried about the basilisk is more important than whether people disagree with how it has been handled. It is possible to be worried and disagree about how it was handled if you expect that maintaining silence about its perceived danger would have exposed less people to it.
In any case, I expect LessWrong to be smart enough to dismiss the basilisk in a survey, in order to not look foolish for taking it seriously. So any such question would be of little value as long as you do not take measures to make sure that people are not lying. Which would be possible by e.g. asking specific multiple choice questions that can only be answered correctly if someone e.g. read the RationalWiki entry about the basilisk, or the LessWrong Wiki entry that amusingly reveals most of the detail but which nobody who cares has taken note of so far. Anyone who is seriously worried about it would not take the risk of reading up on the details.
How many people have been or are still worried about the basilisk is more important than whether people disagree with how it has been handled. It is possible to be worried and disagree about how it was handled if you expect that maintaining silence about its perceived danger would have exposed less people to it.
In any case, I expect LessWrong to be smart enough to dismiss the basilisk in a survey, in order to not look foolish for taking it seriously. So any such question would be of little value as long as you do not take measures to make sure that people are not lying. Which would be possible by e.g. asking specific multiple choice questions that can only be answered correctly if someone e.g. read the RationalWiki entry about the basilisk, or the LessWrong Wiki entry that amusingly reveals most of the detail but which nobody who cares has taken note of so far. Anyone who is seriously worried about it would not take the risk of reading up on the details.