The plot could take a very emotional turn. His family might be heartbroken and try to find him, which can drive a big part of the story. Meanwhile, Naruto himself could be going through a lot of self - discovery. He might become stronger or change in ways that are both positive and negative as a result of leaving his family. This can then have a huge impact on how he interacts with the world and the people he meets later in the fanfic.
Economically, there could be some impact as well. Naruto and Hinata are popular figures, and their presence in Konoha likely contributed to the local economy in some ways, such as through tourism (people coming to see the famous Naruto). Their departure might cause a dip in certain sectors that relied on their popularity, but it could also open up opportunities for new shinobi to rise and bring in new sources of income for the village.
Naruto might feel abandoned at first. Since Kushina is his mother, her leaving could make him feel lonely and question why she has to go. He may become more withdrawn.
Some of his friends could be inspired. They might see Naruto's departure as a noble act, especially if he's leaving to protect his family. Naruto has always been a source of inspiration, and this could lead them to re - evaluate their own relationships and responsibilities. For instance, Sakura might be motivated to be stronger to support Naruto's family in his absence.
The family would be shocked at first. They might start to question their actions towards Naruto. If they were too strict or didn't give him enough love, they would feel guilty. For example, his father may realize that he pushed Naruto too hard to follow a certain path and now regrets it.
Sakura would be deeply affected. She has been Naruto's friend for a long time. His departure might make her feel sad and also a bit lost. She might worry about his safety. Sasuke too would be affected. He and Naruto have a complex relationship. Naruto's leaving could make Sasuke re - evaluate his own place in Konoha.
Sasuke might become more withdrawn. He was always in a sort of rivalry with Naruto, and without Naruto there, he could lose some of his motivation to get stronger. Sakura would be devastated. She cared about Naruto, and his leaving would make her question what went wrong. Kakashi would also feel a sense of failure as a teacher.
Naruto's anger can inspire other characters. When they see how passionate he is about a certain cause due to his anger, they might be motivated to join him. For example, if he's angry about the mistreatment of a group of people, his anger can inspire his friends to fight for justice alongside him.
It can create a sense of urgency. For example, his friends and allies will then have to step up to protect him while he is unconscious. This could lead to new character developments as they face challenges without Naruto's immediate help.
His friends would be worried. Sakura might be very concerned about his safety and feel sad that he left. She may also feel guilty if she thinks she could have done something to prevent his departure.
It can introduce new conflicts. For example, the Uzukage might have had unresolved issues with other villages or clans, and now Naruto has to face them as the reincarnation. This can completely change the direction of the plot from the original Naruto story.