The story could develop with Naruto leaving Konoha to find his own path. He might seek out other ninja villages or hidden places to train and become stronger on his own terms, away from the place and the family ties that he resents.
One possible reason could be the lack of presence of his parents. Growing up without them, he might feel abandoned. And as for Konoha, if he hates it, it could be due to the way he was treated as an outcast, despite being the son of important figures. Maybe the villagers' coldness towards him made him resent the village that didn't seem to protect him from that.
One way to justify it could be through a series of betrayals. Maybe Naruto discovers that Konoha has been using him all along, and his family has some dark secrets that make him feel betrayed. For example, if he finds out that his father was involved in some unethical experiments that led to the suffering of many villagers, that could turn him against both Konoha and his family.
A potential plot twist could be that Naruto's hatred is actually a cover - up for his love. He might be pretending to hate Konoha and his family to protect them from a greater threat. Maybe there's an enemy who would target them if Naruto showed any affection, so he creates this false front of hatred.
Another way is through his attitude towards the villagers. He would show no respect or kindness to them. Instead, he would be cold and hostile, perhaps even going as far as to physically intimidate those who cross his path in Konoha.
Another reason could be that he witnesses corruption or unfairness within the village leadership. If he sees that the system is rigged against certain groups, including himself or his friends, he could grow to hate Konoha and decide to leave.
It could also be due to a lack of support. Naruto was constantly in trouble and trying to prove himself. If his family didn't show up in any way to support him and Konoha didn't do enough to encourage him in a positive way, but rather just punished him for his pranks, he might grow to hate them both.
In this fanfiction, the reception could be mixed. On one hand, the older generation who remembered Minato and Kushina would be very glad to see them return. They were important figures in Konoha's history. But on the other hand, some of the younger shinobi who didn't know them might be a bit cautious at first. Still, once they learn about their heroic deeds, they would likely warm up to them.
The story would deviate from the original themes of unity and friendship. Naruto's hatred could split Konoha into factions. This would mean different training regimens, different missions, and different loyalties. For example, Naruto might start his own group of ninjas who share his views, which would completely change the power dynamics in the village.
One possible reason could be that Naruto might feel overshadowed by the Konoha 12. They all have their own unique skills and family backgrounds. For example, Sasuke is always seen as a prodigy. Naruto, who grew up lonely, could feel a sense of envy or resentment towards them which might be explored in the fanfiction. Also, the Konoha 12 might have some unspoken rules or a clique - like environment that Naruto doesn't fit into, making him develop negative feelings in the context of the fanfiction.