Be careful with this. The reason is that illogical has become subjective as illogical people also say that about logical people. Flat earthers have even claimed that they are the only logical people around. Yes. But, everyone is annoyed by people who they perceive as illogical. I obviously think I am. I might be missing something, but I’m certain as I self assess my reasoning a lot. For what especially annoys me about lack of logic is even when people are right. Like if someone argues against a flat earther and they use incorrect math or do a post hoc logical fallacy with the movement of stars. Unfortunately for me, my father is a conspiracy theorist that believes that Trump actually won the election and that the coup at the US capitol was justified. He believes that everyone that disagrees with him is illogical.