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Is this an example of Insane Troll Logic?
I'm not seeing it. Going by the Laconic and Playing With pages:
"A logical fallacy is used to prove that an obviously false statement is true."
"A character creates numerous logical fallacies or bizarre leaps in logic."
I agree, put it on Writer on Board, or in YMMV as Anvilicious, which is closer to it.
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How well does it match the trope?