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That entire paragraph was a cluster ******** it's aimed primarily at young adults. Though the show holds appeal to all audiences.

She did not go through the same turmoil. Zuko had a choice battle, she was simply abandoned, her sociopathic nature is what drover her crazy, when it culminated beyond into paranoia. Or hell, ask it about any siblings. Why does my sister get constantly sick while I'm normally healthy as a horse? Or why do I have nerve related hives and my sister doesn't? I mean we share the exact same blood right? It's not like I could possibly take after my dad who had the same ailments and she take after my mom.

If you want to go by that argument why not go with why is Ozai so evil and Iroh's such a nice guy? The answer is experiences. Zuko was obviously different, more from his mother's side, whereas Azula is her daddy's girl, believing in domination and cruel imperialism. Ozai didn't have to deal with what Iroh had to deal with.

What does the bullying thing have to do with anything? They're children for christ sake, and practical jokes that they pull are hardly bullying. In fact the only real instance where Toph could have been bullying is in Bitter Work where she takes advantage of Aang. Just because the characters are children and have childlike tendencies doesn't make the show aimed towards children, because they are put into adult situations and have to make complex decisions that a strictly young child audience couldn't completely grasp.

Precisely. There is no bullying, sure there are practical jokes, but the only thing that could be considered bullying is Toph's intimidation tactics in Bitter Work.

On an unrelated note:
http://www.youtube.com/watch?v=IZahl-4C3X4

Check out the first video I ever made.