As one of the greatest logicians of the 20th century once said: Logic is a little tweeting bird chirping in a meadow. Logic is a wreath of pretty flowers which smell bad. Are you sure your circuits are registering correctly? Your ears are green.
I think the real lesson is that humans aren't always (or even often) rational. A logical argument that assumes humans are always rational is incorrect. But if you have a good model of human thought and interaction that includes all the irrational parts, using logic to analyze it can work great.