Despite Poirot’s willingness to help his friend develop the discerning mind of a detective, Hastings seems somewhat incapable of recognizing what is perhaps the most important aspect of good detective work: a fine attention to detail. Poirot has already said that details that don’t make sense or seem irrelevant often yield the most important clues, but Hastings seems to have forgotten this advice. As such, he doesn’t even
try to connect the argument he overheard to any of Poirot’s findings—a mistake that Poirot clearly sees as lazy, though he doesn’t say how, exactly, the conversation might fit into the broader picture.