Cloud's definitely a type 4. In the beginning, his strong, uncaring demeanor was a self-image that he took from his friend Zach. As you play the game, it shatters and reveals a wounded man with repressed memories. Following intense trauma, he actually confused his own identity with Zach, someone in the SOLDIER program that he envied so much. Its the classic 4 defense mechanism of trying to become your self-ideal to cover over the true self, which he feels deficient about. His intense envy for SOLDIERs and Sephiroth caused him to lie about his true origins in the SOLDIER program to Tifa, which he actually failed to make into in the past.
Cloud was so good at assuming the identity of others that he was astoundingly good at wielding the buster sword at first, which his peers thought was incredible since he only learned from watching others. In advent children, Cloud's last words to Zach (in his hallucination of him) was "I am your living legacy", meaning he has understood that his strength was the ability to assume the images of others.