One consequence could be that Sakura might feel neglected or confused. If Naruto has always been a part of her life and suddenly stays away, it would definitely have an impact on her emotions. She might start to question what she did wrong or if Naruto has changed in some way.
For Naruto, staying away from Sakura could lead to him focusing more on self - discovery. He might become more in tune with his own goals and desires without being influenced by his feelings for Sakura. However, it could also make him seem cold or distant to those who know about their relationship. In the overall plot of the fanfiction, it could create a power dynamic shift. For instance, if Naruto and Sakura were part of a team, their team's functionality could be affected. Their teammates might have to step in to fill the void left by Naruto's absence in Sakura's life, which could lead to new character interactions and developments.
He might miss out on some crucial training. Jiraiya has a lot of knowledge and skills to pass on, and by running away, Naruto could fall behind in his development as a ninja.
He might face a lot of danger on his own. Since he's running away from Kushina who would usually protect him, he could encounter stronger enemies that he's not fully prepared to face.
He could become stronger on his own. Away from his family, he'll have to rely solely on himself. This self - reliance might push him to train harder and unlock even more of his 'godlike' powers. For instance, he might find new mentors or training methods that his family would not have allowed.
One consequence could be that his friends worry about him a great deal. They might go on a search for him, which could put them in danger as well. After all, they care about Naruto deeply and won't just let him disappear without trying to find him.
In fanfiction, it could be a way to create new plotlines. By having Naruto stay away from Sakura, new conflicts and story arcs can be introduced. For example, it might lead to a situation where Sakura has to re - evaluate her own feelings and actions towards Naruto, or it could create a rift between them that other characters have to help bridge in the story. Also, some writers may simply not be interested in the typical Naruto - Sakura relationship and choose this as a way to deviate from the norm.
Naruto could end up getting lost, both literally and metaphorically. He might lose his way in the shinobi world, not having Minato's guidance. He could make wrong decisions about his training, alliances, etc.
One possible consequence could be that Naruto grows up away from the influence of Konoha's shinobi culture. He might develop a different set of values and skills. For example, without the guidance of Iruka and Kakashi, his understanding of ninjutsu and teamwork could be very different. Also, his relationships with characters like Sasuke and Sakura would be greatly affected. Maybe he wouldn't have the same rivalry with Sasuke, and his bond with Sakura might not even form.
It could also lead to some division among the Naruto fandom. Those who support Sakura's view might be more critical of fanfiction, while those who love fanfiction might not like Sakura as much because of her stance. For example, in online Naruto communities, there could be debates and arguments about whether Sakura is right to hate fanfiction.
One consequence could be moral. They would have to deal with the ethics of controlling the dead. Are they disturbing the natural order? This could cause a rift between them and some of their friends and allies who might not agree with such a practice.
The consequences would be far - reaching. Naruto, being the optimistic and friendly character he is, would be deeply hurt. His power might be affected as his emotional state is in turmoil. He could also start to view the ninja world in a different light, seeing it as a place where even the closest friends can turn on you. This could lead to him making different choices in his battles and relationships, and may even push him towards a darker path himself in some fanfiction interpretations.