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Jiro comments on On Terminal Goals and Virtue Ethics - Less Wrong
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Note that this also messes up counterfactual accounts of knowledge as in "A is true and I believe A; but if A were not true then I would not believe A". (If I were not insane, then I would not believe I am Nero, so I would not believe I am insane.)
We likely need some notion of "reliability" or "reliable processes" in an account of knowledge, like "A is true and I believe A and my belief in A arises through a reliable process". Believing things through insanity is not a reliable process.
Gettier problems arise because processes that are usually reliable can become unreliable in some (rare) circumstances, but still (by even rarer chance) get the right answers.
The insanity example is not original to me (although I can't seem to Google it up right now). Using reliable processes isn't original, either, and if that actually worked, the Gettier Problem wouldn't be a problem.