Questions without a clear problem statement are not useful to other readers.
I guess this is fundamentally where I disagree with SO's staff and/or moderation team. I occasionally find those questions and their answers very useful, when there are answers, and again more useful than the perhaps ideal, specific, and ignored questions that fill the site. When questions get too specific, the only person that might benefit from the reply is the person that posted the question in the first place. At that point it might as well not be part of a public forum.
My favorite SO pages are those that generate multiple replies with different perspectives, and often different languages or at least libraries. Those questions are admittedly usually vague but I think that given the result (many interesting answers from different people) that is a net positive. You might say that the answers given look like guesses, and that'd be completely fair, but there's still value. Certainly more value than an unanswered question abandoned by both the asker and the one person who expressed a small amount of interest.
I do see the difference you're describing (between Atwoodian and Spolskyians) and I can see the merits in both sides. I'm not satisfied with either, but that's more on me than on SO. In any case, I doubt I'm making any unique or new arguments here. I'm mostly just frustrated with SO and Google in general because I almost never find a solution to my problems.
As a sort of aside:
The key distinction to make here, in my mind, is that all questions are ultimately in service of the people answering them. That is the audience you need to satisfy if you want to have any hope of creating and sustaining a community of peers learning from each other.
That seems to be how you make a site by and for narcissists, or people otherwise interested in hearing themselves talk. It'd be a different story if the answers were paid, I guess, because at least then the motivation would be something more tangible.
To be honest, I probably would have written SO off entirely if I'd seen this comment earlier.