He's a classic 4, emotionally expressive, revealing, believing he was inherently inferior, but also believing he was above others, making things a tragedy for himself was easy. He's even stated this, he always made things sadder than they actually were.
Can someone explain to me why he's typed as a 5? 5's are cold, emotionally unexpressive, guarded, and their fear is being incompetent. Kurt's fears were not being himself and being unappreciated (heart type desire).