But there was more to it than that. Think about it. Tsukasa is a girl. Aura's a girl. Tsukasa is denying his female self and trying to pass himself off as a guy. Aura sleeps. As Bear confirmed for us, it's not when Aura Awakens that triggers Tsukasa's logging out. It's Tsukasa's logging out that triggers Aura's Awakening. So how does he log out? Simple Liminality. He simply doesn't want to stay. Sure, before the last episode, he wanted to leave, but he didn't want to go anywhere specific. Only by realizing that Morganna and Aura are the same as Tsukasa and her father...
Tsukasa
You're the same. You use force. You use force to make me submit to you. To make her submit to you.
Aura is
supposed to awaken on purely negative or positive emotions, but Tsukasa managed to awaken Aura on a healthy dose of BOTH by accept all facets of herself. With self confidence, Tsukasa's father no longer has power over her. And with new consciousness, the same applies to Aura and Morganna. ((Well, sort've. But that's for the games to get around >,>))