Those who don't see through her physical doings probably won't. Once broken down, one can really see the psychological breakdown which occurs in Azula's head. Her constant belittling of Zuko is due to a subconscious jealousy towards Ursa's motherly love for him, which Azula did not receive. Furthermore, she has never experience love, nor can she without being power struck. This is because of her father's presence and teachings of how love is just a distraction from complete power. Her controlled life is only balanced by the presence of who she considers as real friends, Mai and Ty Lee. However, after their betrayal, it seems as if her friends chose Zuko over her, reinstating the feelings she had with Ursa.