I see intelligence as "how fast i can grasp this concept" type of stat instead of how clever a person is. I suppose it is a more high abstract view of that everyone possesses intelligence and the truly intelligent just get things quicker.

So a high intelligent person can grasp how to mix and match various animal parts into a smoothie to make their own diverse personal anime harem in say a week, while someone of low intelligence would still get the concept after repeatedly trying to understand it until it finally clicks after a month

At least that is how I see it shown in game as high intelligence increases reading speed and how fast you gain skill levels. So intelligence is to me at least is an expression of learning ability and how fast you can process information into easy to understand concepts

Personally and I am not sure if it is high intelligence when talking to Rubik you can understand and see a summary what he is actually saying and find out he is screwing with you with its speech style as it has the ability to speak normal, but chooses not to. Also can surmise that exodii implies exodus with an int check I think... need to double check

Update: There is a couple of intelligence checks with the Exodii ( around 9)

I was able to get CBM installed by them just talking to them without fetching anesthesia and I see with Xedra evolved has some stat checks to ask about further details about "fairies and vampires" but that has an int or deduction skill check.