Having read the paper, I don't think they can, and they admit this to some extent. What they can prove is that in the small selected set of biases they chose, the smart are incorrect; but to show that the smart are miscalibrated in general about their resistance to biases, one would need to do a lot more work. (There are scores of biases, after all.)
A New Yorker article on cognitive biases was on the reddit front page in the last day. It seems like a good opportunity to discuss what the article got right, what it didn't, how reddit reacted, and how one might better publicize the topic in the future.
reddit comments(this link doesn't work any more, see VincentYu's comment for links)
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