That broadcasted message is one of the things that proves that Adel went crazy due to her suffering from her imprisonment. Ultimecia is the same. She went crazy, went back to the past to rule the world for revenge and vengeance. She knew how Adel felt, and that is why she went after her. Adel + Ultimecia = Gigantic Game Over, which will destroy all of your Memory Card saves!

I have no pure evidence to prove the next bit, but I truly feel that Ultimecia's craziness came from her imprisionment not too long before her future timeline. Such imprisionment was probably made of Esthar. It's either that her imprisonment, a representation of Artemisia, or R=U, that made her crazy.

Adel lacks her own story, just like Ultimecia. But isn't that what VIII is about?