Another possibility is that he wants to explore the world outside Konoha on his own terms. Naruto has always been curious, and in a fanfic, he might decide that he can't be tied down to one place. He could be on a quest for self - discovery, believing that Konoha's environment is limiting his growth.
Yes, there might be such fanfics. One possible reason could be exploring alternative storylines. Writers might want to break the traditional view of Naruto's loyalty to Konoha to create more complex and unique plot twists. For example, they could be imagining a scenario where Naruto discovers some dark secrets about Konoha that make him question his loyalty.
One possible reason could be that Naruto feels betrayed by the village. Maybe he discovers some dark secrets about Konoha that make him lose faith in it. For example, if he finds out that the village leaders have been using him all along without truly caring for his well - being.
One possible reason could be that Konoha has made decisions without considering Naruto's opinions. Maybe they have made policies that Naruto believes are unjust towards certain groups, like the treatment of the Uchiha clan in the past. Naruto, who values fairness and friendship, would be angry at such insensitivity from his village.
One possible reason could be for Naruto's safety. Maybe she has to go on a dangerous mission and believes Konoha is the safest place for him. Another reason might be that she is forced by some powerful enemies who threaten Naruto's life if she doesn't leave him in Konoha.
One possible reason could be that Naruto feels betrayed by Konoha. Maybe he discovers some dark secrets about the village that make him lose faith in it. For example, if he finds out that the village elders were involved in unethical experiments or plots against his friends or family, he might not want to help.
One possible reason could be that Naruto discovers some dark secrets about the village leadership that go against his values. For example, if he finds out that they have been using underhanded means to maintain power.
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 some fanfics, Naruto might leave Konoha as a child because he feels ostracized. Since he's the jinchuriki of the Nine - Tails, many villagers fear and shun him. He could get tired of the constant cold shoulders and decide to leave in search of a place where he'll be accepted.
In fanfiction, Naruto might snap at Konoha if he feels betrayed by his friends or the village. For example, if they don't support him when he tries to make important changes or if they side with someone who has wronged him. Also, if the village starts to become too controlling or authoritarian in the fan - created story, Naruto, with his free - spirited nature, would likely snap.
Maybe Naruto has seen too many unrealistic or out - of - character portrayals of Konoha in the fanfiction. For example, some might make Konoha overly cruel or its people too stupid, which goes against his understanding and love for his village.