Yeah, I was just confused. I see "illogical" being used in situations that don't seem to be about logic, and looking at a dictionary to see if I was assuming a wrong meaning didn't seem to help.

So based on your explanation, it seems like if Alice says "illogical" to Betty like that, I should 1) assume Alice thinks Betty is making a logical argument, 2) figure out what logical argument Alice thinks Betty is supposed to be making, and 3) figure out what Alice thinks is wrong with that argument.

Of course, that sounds like a lot of work, so I'll probably just start skipping over that word.