I believe it must go both ways then. The Dutch very much make fun of the Belgians.

you must have been too drunk /s

'Irish logic' is where things are backwards, in a specific way. It's kind of a single mindedness. Usually it's a misunderstanding-based joke, not exactly stupidity, but a silly perspective. E.g. it takes more Irishmen to change a light bulb because one holds it and the others swing the ceiling round.
I'm first generation Irish immigrant, and my family loves these kinds of jokes, we don't see it as hateful. But I wouldn't tell them around any old Irish person.

Same, I am used to being the punch line in various jokes but I've never heard it referred to as "Irish Logic".

I find this amazing. My school was full of jokes like: What's the latest Irish invention? An inflatable dart board.