I would say the analysis that ships with Dramatica is wrong.
Crucial Elements for Casablanca:
- Main Character: Control
- Influence Character: Free (Uncontrolled)
Rick represents Control throughout the entire narrative -- even when he's "changing" at the end, objectively he still represents Control.
Ilsa is one-hundred percent Free from beginning to end--also objectively. She wants freedom to leave Casablanca. Even when she decides to go back to Rick its all about being free with him.