I'm not sure that a person can moot. If something is not worth talking about it is moot, but there it's an adjective. There's also a much less commonly used noun (so rarely used that I haven't encumbered my brain with a definition (though I have a feeling it may be a kind of parliament).
Maybe there is a verb too - something like 'suggest'...:-? but it definitely doesn't collocate with 'question'.