A year and a half ago, there was an interesting discussion of redefining "too broad" here on Meta. What I find a bit worrying is that the conclusions (or notions) come to in that discussion appear gradually to have been set aside, at least to some degree. The result is that I think we have become too quick to close questions.
One of the dominant points in the referenced discussion was that broad questions get refined relatively slowly. It takes time. We begin with a question that's too broad and possibly out of scope, then a flurry of comments shaves it down to where it belongs on WB/SE but is too broad. It goes on hold, and there's a long back-and-forth -- in comments, in chat, etc. -- trying to find ways to get at the narrow-enough core of the question. Editing happens. Eventually a revised and polished question emerges, and it gets reopened through the review queue.
This is, many said at the time, how the system is supposed to work.
But at present, I think the rapid-fire "too broad" and especially "off topic" close votes shut off discussion and reconsideration. The question referenced in Jim2B's meta-question has been deleted by its author. I see this happen far too often. In my reading, new posters take their questions down after a barrage of "off topic" votes, thinking, "gee, I guess my question is no good, so as a good citizen I should get rid of it."
As I've noted recently, there's also a lot of downvoting and close-voting without any comments. Some seem to think it's OK to do this because the close reason appears automatically, but that's not the case. As questions like this demonstrate, "off topic" and "too broad" are not self-explanatory. And if you cannot clearly articulate what's wrong, you shouldn't be close-voting. (Franklhy, I think that if you can articulate it but choose not to do so, you shouldn't be voting at all.)
In essence, I think we should be leaving things on hold for a long time. Unless we're dealing with a gross mismatch, a question should not be closed for a week, in my opinion, and possibly longer. If you're concerned that we need more refinement to avoid destructive answers, protect the question. But don't close questions until they've been through a lengthy and serious review, with all discussion clearly explicated in comments.