recontextualizing the world, characters, or events of the original film in a way that makes them better in hindsight
Yup. That’s why I like Better Call Saul. It makes Saul Goodman/Jimmy McGill’s arc more compelling, as well as the Salamanca family-Gus Fring conflict. It also makes Walter White’s achievements all the more impressive in Breaking Bad, as he was able to annihilate all of these people.