On the surface it seems like The Odyssey is a vanity project. Like if Christopher Nolan after getting an Oscar for Oppenheimer ( which I still didn't review for some stupid reason ), decided that he is big enough, of a filmmaker, to take on a project of epic proportions, or something. Like he can tell Homer himself, how to properly tell a story, or whatever. But then you watch the movie.
Tony Scott famously didn't care about the time travel plot of Déjà Vu which freaked out the writers of the film. As they said, he cared more about the action and surveillance aspects of the movie. He famously cared a lot about surveillance, as visible from his previous Jerry Bruckheimer collaboration Enemy of the State. And that means, that a sort of sci-fi surveillance movie, marks Déjà Vu as the closest thing Tony Scott did to Steven Spielberg's Minority Report.