Do you care about it? It sounds like you're responding appropriately (though IMO it's better that such arguments be public and be refuted publicly, as otherwise they present a danger to people who are smart or lucky enough to think up the argument but not the refutation). If the generation of that argument, or what it implies about your brain, is causing trouble with your life then it's worth investigating, but if it's not bothering you then such investigation might not be worth the cost.