He might try to prove himself. Naruto could focus on becoming stronger and more successful as a ninja. By showing his family that he can achieve great things and that he's a good person, he hopes to change their minds. For example, he might take on difficult missions and complete them with excellence.
One possible reason could be jealousy. Maybe Naruto has some special abilities or a prophecy surrounding him that makes his family members, who might be less favored, jealous. For example, if there's a prophecy that Naruto will be the most powerful ninja in the village, his siblings or parents might envy that future for him and start to hate him out of their own insecurities.
One reason could be that it goes against the core themes of Naruto's character development. Naruto was always longing for family and his journey was about finding his place in the world which included his family roots. Fanfiction that has him hating family might seem out of character.
One possible reason could be a misunderstanding. Perhaps Naruto misinterprets some of his family's actions or words. Maybe he thinks his family didn't care about him as much as he thought they should. In fanfiction, authors often play with the idea of miscommunication and how it can lead to strong negative emotions like hatred. Also, if there are other characters in the fanfiction who influence Naruto's view of his family, say by spreading false rumors or manipulating him, that could contribute to his hatred.
On the positive side, it might inspire more in - depth discussions about Naruto's character. People could analyze why this type of fanfiction exists and how it differs from the canon. This could lead to a better understanding of the source material and how different interpretations can either enhance or detract from it.
It can be quite divisive. Some fans might be extremely offended as Naruto is a beloved character known for his positive traits. This type of fanfiction goes against the established character arc and values. It could make some fans angry that someone would distort Naruto's character in such a way.
The most straightforward resolution could be Hinata explaining the truth to Naruto. Once he knows the real situation behind her 'betrayal', he realizes he was wrong to hate her and they reconcile.
In the fanfiction, Naruto could justify his hatred because he may have grown up seeing other kids with their mothers. Kushina's absence during his formative years could have made him feel unloved and unwanted. He might think that she chose to leave him, not considering how much he would suffer, and thus hatred could develop.
One way could be through Naruto feeling neglected by his family. Maybe in this fanfiction, his parents were alive but were always too busy with village affairs, leaving Naruto feeling alone and unloved. This could lead to his hatred as he grows up seeing other families being more present for their kids.