I haven't. I expected they were making mistakes like this one, and haven't seen anything indicating they generally make mistakes in this direction rather than the other.
It makes sense to adjust downward your belief that they are reliable, if you thought they were very reliable before. But this shouldn't be enough to indicate they're reliably getting it wrong in a particular direction.
If the ultimate goal is to compare knowledge of the Supreme Court to knowledge of the Simpsons, I would expect the surveys to reliably be wrong in the more sensational direction.
How many times have you heard a claim from a somewhat reputable source like "only 28 percent of Americans are able to name one of the constitutional freedoms, yet 52 percent are able to name at least two Simpsons family members"?
Mark Liberman over at Language Log wrote up a post showing how even when such claims are based on actual studies, the methodology is biased to exaggerate ignorance:
If, every time you heard a claim of the form "Only X% of Americans know Y" you thought "there's something strange about that", then you get 1 rationality point. If you thought "I don't believe that", then you get 2 rationality points.