In some 'indifference' fanfiction, Snape could be indifferent to the House rivalries. Normally so caught up in his Slytherin pride and his dislike for Gryffindors, this change would be interesting. He might start teaching Potions in a more inclusive way, not favoring Slytherins or picking on Gryffindors, which could completely change the dynamic in the classroom and his relationships with the students.
One interesting 'indifference' Harry Potter fanfiction could be where Harry is indifferent to the fame that comes with being 'The Boy Who Lived'. In this kind of story, he might just want to be a normal student at Hogwarts, ignoring all the whispers and stares. He focuses on his studies and friendships in a more down - to - earth way, without the pressure of his heroic image.
There could be a fanfiction where Hermione is indifferent to the social hierarchies at Hogwarts. Instead of being bothered by the pure - blood / half - blood / muggle - born distinctions, she just goes about her business of learning magic and helping her friends. This indifference might lead her to start a new club or movement that promotes equality in a unique way within the wizarding world.