I can’t put my finger on it, but I think the intellectually challenging part is at the heart of the matter. A wily person can talk their way through a debate by saying things that sound compelling. An educated person has more ability to reason: they can challenge you when they know they are right, and explain why you are wrong.
It’s the difference between bluffing and sincerity, or dishonesty and truthfulness. Current LLMs are confident liars.
Are those the typical qualities of the educated…?