One reason could be a divergence in their characters' values. Maybe in the fanfiction, Kakashi's actions or decisions go against what Sakura believes in. For example, if he's shown as being too lenient with enemies when Sakura is all about strict justice.
The 'naruto hates kakashi and sakura fanfiction' completely flips the story dynamic. The original story is built on friendship and teamwork. Here, with Naruto's hatred, that foundation is shattered. It could lead to different power structures in the ninja world. Maybe Naruto teams up with other characters against Kakashi and Sakura. It also affects the emotional tone of the story, from one of hope and camaraderie to one of conflict and animosity.
Perhaps in this fanfiction's universe, Naruto's goals and ideals are completely different from Kakashi and Sakura's. Naruto may be aiming for a more radical change in the ninja world, while Kakashi and Sakura are more conservative. Their differences could lead to Naruto developing a sense of hatred towards them as they constantly oppose his ideas.
It can also inspire a lot of debate. Fans might discuss the possible reasons for such a relationship in the fanfiction. This could increase the engagement within the community as people exchange different viewpoints.
One possible reason could be that Naruto might feel Kakashi is too strict with his training. Maybe Kakashi's methods are too harsh for Naruto, making him frustrated and gradually developing dislike.
Communication is key. If they sit down and talk about their misunderstandings and feelings, it could start to mend their relationship. Naruto could express his frustrations, and Kakashi could explain his actions.
Yes, there probably is. In the Naruto fandom, there are various fanfiction themes, and the 'narusaku' (Naruto - Sakura relationship) with Naruto hating Sakura can be an exploration of an alternative take on their relationship. Some fans might write this to explore what - if scenarios or to express their own views on the characters' dynamics that deviate from the canon.
One possible reason could be that in the fanfiction, Kakashi might have made a decision during a mission that Naruto strongly disagreed with. For example, Kakashi could have chosen to sacrifice something important to Naruto in order to achieve the overall mission objective.
In fanfiction, the evidence often lies in the way the author portrays Naruto's interactions. For example, Naruto may be shown being cold or dismissive towards Sakura, like avoiding her company or not showing any romantic interest. Meanwhile, with Hinata, he could be depicted as being more affectionate, like blushing around her or always coming to her aid. But it's important to note that this is all in the realm of fan - created interpretations and not the official canon.