Well, I'd argue that in essence, all of the alternative scenarios you list for dealing with non-mathematicized problems do constitute throwing an idea out, insofar as they represent a reshaping of the question by people who didn't initially propose it, i.e., a type of misrepresentation, although the last one ("maybe we should wait until experts have hashed out a bit more exactly what they mean and come back to the idea then") is an adequate way to deal with such problems.