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.
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.
The recommended ending chapters of the novel, The Female Lead Stay Away, included " The Virtuous Wife Is Poisonous,"" The Beloved Concubine Is Above: Emperor, Take It Easy,"" Reborn Like Brocade,"" After Rebirth, Is It Too Late for the Empress to Change Her Husband?" and " The Pretty and Fierce Wife: Husband, Don't Provoke Me." These novels described how the female protagonist left the male protagonist after her rebirth. They were all ancient novels, and one of the plots was that the female lead was far away from the male lead. These novels all had complete stories that could satisfy the needs of readers.
Some of the novels recommended by the female protagonist far away from the novel included " The Virtuous Wife is Poisonous,"" My Favorite Concubine is Above: Emperor, Take It Easy,"" Reborn Like Brocade,"" After Rebirth, Is It Too Late for the Empress to Change Her Husband?" and " The Pretty and Fierce Wife: Husband, Don't Provoke Me ". These novels described the plot of the female protagonist leaving the male protagonist after her rebirth, including the palace, modern and post-apocalyptic settings. These stories were interesting and suitable for readers who liked this kind of theme.
For Naruto, running away might make him more determined to prove his worth and protect his friends. He could learn to control his Nine - Tails chakra better in the face of danger outside the village. Sasuke may start to trust Naruto and Sakura more, realizing that they are his true comrades. Sakura, on the other hand, could become more independent and confident in her abilities, not just relying on Sasuke and Naruto but also being able to take charge when needed.
One possible plot could be that they run away from the Hidden Leaf Village to avoid a powerful enemy that is targeting them specifically. Maybe this enemy has some vendetta against them because of their unique abilities or past actions. They might have to rely on each other's skills and their friendship to survive in the wild and find a new place to call home.
Their relationship could develop into a deeper friendship. Away from the daily hustle and bustle of the village, they would rely more on each other. Naruto would see Sakura in a new light, not just as a teammate but as a true partner. And Sakura would appreciate Naruto's unwavering loyalty more than ever.
Perhaps Naruto feels that Kushina is being overprotective. He wants to prove his independence and go on his own adventures without her constant supervision, so he decides to run away.
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.
One possible reason could be that Naruto might be afraid of the intense training Jiraiya has in store for him. Jiraiya is known for his strict and grueling training methods, and Naruto, being young and sometimes impatient, might just want to escape that for a while.