Ναι, όμως, υπάρχει μια διαφορά με το (να είσαι) κακομαθημένος και καλομαθημένος .. ή το φαντάζομαι;
To me, anyway ... κακομαθημένος can also describes someone who is badly behaved (possibly, as a result of a bad upbringing, maybe, where they've been spoilt when they should have been...