Some of you might not be aware, but there are a few sites that use the StackExchange engine to address non-programming questions. These sites are not called Stack Overflow, but they share this very same meta. They don't get thousands of questions a day and some of them don't even get tens of questions a day. If Stack Overflow is like Amazon, the smaller sites are like Ben and Jerry's. More "niche" sites have (and require) different cultures. Please bear this perspective in mind.
On Biblical Hermeneutics we got a question that asked if there were any contradictions in the Bible. As a question, that's just too broad, but it was also filled with grammatical errors, and useless phrases and all the things you might hope a "quality" filter would catch. After some editing work by others, the question was beaten into shape: success!
However, we got a question on our meta from someone who asked a much better question that would have been right in our wheelhouse, but it got tripped up by the quality filter. If the person had not asked (and known to ask) on our meta, they'd probably still be confused, and I wouldn't blame them for being annoyed enough to give up on the site altogether.
Can you give us any help in communicating to our users that their questions are welcome when the system blocks them? Can we find who got tripped up by the filter, and what questions they were asking? The canonical answer really doesn't meet the need.
Addendum
Notes on the answers so far:
Jeff's suggestion that since the question the filter rejected was easily answered by Wikipedia is a red herring unless the filter somehow searches Wikipedia and knows the question is easily answered. It's do doubt true that if a person includes more research, they are less likely to run afoul of the filter. But people who do zero research still stumble past the filter somehow. No filter will be able to determine if the asker is willing or unwilling to learn, which is the primary way I tell if a question is worth answering.
Further, and this is another topic altogether, a variety of well formulated answers beats the Wikipedia harmonization of a variety of scholarly views any day. Wikipedia is a great place to start thinking about a question, but it's not the be-all and certainly not the end-all answer to non-technical questions. (I assume everyone agrees at some level, but I want to make this point clear.)
An Amazon-style site needs to optimize for crowd control and a Ben and Jerry's site optimizes for customer satisfaction. Biblical Hermeneutics is less likely to attract the homework and "plz email me teh codez" questions than other, broader-interest sites. So filtering that works for one might be a waste of time on the other. My guess (and I am denied any data) is that the filters have a higher false-positive rate on the niche sites.
It's really a bit disingenuous to blame the niche sites for being small and suggest that they ought to be hosted on some other network. Each one followed the Area 51 process and was approved. It's not as if we hijacked the system to do something unauthorized. Maybe the site approval process is broken. Maybe the network's goals should change to fit what it can actually deliver.
However, I think the niche sites are doing just fine. A month and a half ago, we had 1.4 questions a day. Today we have 1.9. (Yesterday it was 2.0, so the number does shift around quite a bit. Could we get these numbers graphed over time? That would make evaluation of a site's "vital signs" a bit more meaningful.) We are seeing slow growth and we are making the internet a better place. Unless I hear otherwise, I must assume we are meeting our goals.