One consequence could be that the fanfirls in the fanfic might get sad or angry at being hated. They might stop supporting Naruto in the fan - created stories.
In some fanfics, the idea of Naruto hating Hinata might be a plot device to create drama. Maybe the writer wants to explore a different kind of relationship dynamic than the canon one. It could also be that the writer has a unique interpretation of the characters' personalities and how they might clash in certain situations.
Maybe it's because Aphrodite's powers and the way she uses them are at odds with Naruto's own beliefs. Naruto believes in self - improvement through training and facing challenges head - on. If Aphrodite uses her love - related powers in a way that seems unfair or goes against Naruto's sense of justice in the fanfic, he would dislike her. Like if she uses her powers to manipulate people's emotions for her own gain, which is something Naruto would oppose.
Well, it could be that Naruto has been betrayed too many times. Maybe he discovers that some of his closest friends have been using him all along for their own gains. So he starts to hate everyone, and the story could be about his journey of isolation and self - discovery as he tries to come to terms with his new feelings.
Often in these fanfics, Sakura might make fun of Naruto's dreams or goals in a very mean - spirited way. This constant put - down could lead Naruto to hate her. Also, if Sakura were to side with Naruto's enemies in the fanfic for some reason, like being brainwashed or having a hidden agenda, it would be a likely cause for Naruto's hatred.
One possibility for such a fanfic is that Naruto has been through some kind of trauma that makes him view Sasuke and Sakura differently. For example, if Naruto was betrayed by someone he trusted deeply who had similarities to Sasuke and Sakura in some aspects. It could change his perception of them completely and fuel his hatred in the fanfic.
Some fans who like the Hyuuga characters might be disappointed. They might feel that Naruto's dislike in the fanfic is unfair to their favorite characters and could lead to some debates within the community.
One possible storyline could be that the Si OC is a shinobi from a village that has been wronged by Konoha in the past. They see Naruto as a symbol of Konoha's power and thus direct their hatred towards him. For example, if their village was raided by Konoha in the past for some reason, they hold a grudge against all things Konoha, including Naruto.
It could be Naruto himself. Since he hates everyone, his actions against the people he once cared about could make him the antagonist. He might start attacking the Hidden Leaf Village or other ninja villages, making him the main source of conflict.