Awakening really gives a sense of what kind of person Hakoda is. His daughter is angry at him for no apparent reason, but he doesn't get defensive or try to alpha male her. He just accepts her anger until she is ready to talk about it.
That scene is also directly contrasted with Zuko seeing his father again after all those years. Hakoda talks about how much he missed his children. Ozai talks about how proud he is of Zuko. He could have let Zuko come home any time, but he didn't. The onus was entirely on Zuko to be a good son. Hakoda "miss[ed] you so much it would ache". Ozai apparently didn't.