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Well, it would be a big loss for Konoha. Naruto is a powerful ninja, and his absence would mean one less strong fighter to defend the village. Ino, too, has her unique skills in mind - related jutsu and communication. Their departure might also lower the morale of other ninja, especially those who were friends with them or looked up to them.
Naruto would be devastated. He has always considered Sakura as a dear friend and teammate. He would probably try to convince her to come back at first. If that fails, he might see it as his mission to bring her back by force if necessary, believing that she has been led astray. Sasuke, on the other hand, might have a more complex reaction. He has his own issues with Konoha, so he might understand Sakura's desire to leave on some level, but he would also be suspicious of her motives for joining Akatsuki.
One possible reason could be feeling betrayed by the village leaders. Maybe they made decisions that Naruto strongly disagreed with, like how they treated certain groups or individuals. If Naruto felt that Konoha was no longer the place that stood for justice and fairness as he once believed, he might abandon it.
Maybe he has some personal grudges against the village. For example, he might have felt betrayed by the village in the past and that made him reluctant to offer help.
One popular theme is the daily life in Konoha. It could be about the characters going about their normal days, training, having fun at the local shops, or just hanging out with friends. Another theme is about Konoha during a war or a major threat. How the village prepares, the strategies they come up with, and how the characters, especially Naruto, contribute to the defense. And then there's the theme of Konoha's past. Stories that explore the history of the village, the founders, and how things have changed over time.
One possible reason could be a search for power. The character might feel that Konoha doesn't offer enough resources or training opportunities for them to fully explore the potential of the Rinnegan. They may believe that there are other places in the Naruto world where they can gain more knowledge and power related to their special eye.
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.
Maybe in the fanfic, Naruto has faced too many political intrigues within Konoha. He has always been loyal to the village, but if he constantly encounters backstabbing or unfair treatment from some of the village's leadership or clans, it could lead to his weariness.