I'm confused about the title of this thread. "Why Cortana Was A Good Thing" is imho incorrect, because Cortana IS a good thing. Cortana is created by Dr. Halsey of her own personality, so Cortana is like a digitalized human. The composer digitalize lifeforms and can recreate them, but this proccess is buggy. We know these recreated lifeforms as "Prometheans"
Cortana was with her mad copies in this whole forerunner system where the composer was a part of it. So Cortana, as a digital lifeform, could be recreated as a promethean-style lifeform Cortana.