The problem is in philosophy they attempt to use intuitions as evidence. If their "philosophically informed intuitions" are still vulnerable to biases and errors then arguments based on those intuitions are (even more) suspect. I doubt most LW readers found the intuition evidence argument compelling to begin with.
Although we do use intuitions as evidence, just as evidence about something else. For instance, evidence about what algorithms our minds use.
This is a combination news-announcement and begging for someone with academic subscriptions to maybe jailbreak a PDF for us.
"Persistent bias in expert judgments about free will and moral responsibility: A test of the expertise defense" (emphasis added):
Linked from http://experimentalphilosophy.typepad.com/experimental_philosophy/2011/06/failure-of-the-expertise-defense-persistent-bias-in-expert-intuitions-.html which elaborates: