ILI's are generally very difficult to socialise with, because they are VERY distant. They can even find excuses to avoid any social contact. I don't know if it's because they find socialising redundant or if it would require too much efforts to do.
In school, I have known a pretty materialistic and hateful ILI ; he was depressive probably because he made himself illusions (like most types could), and his life didn't match what he expected from. He was very aggressive, and harmed other students regularily.