Fanfiction can also put Christine in different situations that the original story doesn't. Say in a fanfic where she travels to a different country. This forces her to adapt and grow in ways not seen in the original. It can make her a more well - rounded and complex character as she faces new challenges and meets new people.
Fanfiction often gives Christine more agency. In the original, she can seem a bit passive at times. But in fanfiction, like 'Christine's New Path', she might take control of her own destiny and not just be the object of the Phantom and Raoul's affections.
Many fanfictions explore Christine's backstory more deeply. For example, in 'The Hidden Years of Christine', it delves into her life before the events of the opera, which helps to better understand her actions and decisions during the main story. It also might show different sides of her personality, like her being more assertive or having hidden talents.