His leaving can make him more independent. Away from Konoha, he has to fend for himself. He'll learn survival skills quickly and become more self - reliant, which is a big change from the Naruto who relied on ramen from the local store in Konoha.
It can also make him more distrustful at first. After all, he's leaving because of something wrong in Konoha, perhaps being shunned or deceived. So when he meets new people, he'll be more cautious. But as he has more positive experiences, he might slowly regain his trust in others. For example, if he meets a kind group of people who accept him, it'll start to change his view. This whole process shapes his character in a different way compared to the original Naruto in the anime or manga.
Naruto's leaving as a child in fanfic can lead to a more vengeful side of him. If he feels that Konoha has wronged him, he might develop a desire for revenge. However, as he grows and matures, he might realize that revenge isn't the answer. This internal struggle between vengeance and forgiveness can be a major part of his character development in the fanfic.
His ninja skills may develop in a different way. Instead of learning the traditional Konoha - style jutsu, he could be exposed to new and different forms of combat. This might make his fighting style more unique. Also, his view on the ninja world could change. He may start to question the values that Konoha has taught him and form his own set of beliefs.
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.
His decision could make him more self - reliant. Away from Konoha, Naruto has to depend solely on himself. He'll likely face new challenges that force him to dig deeper into his own abilities and beliefs. This could lead to a more mature and nuanced understanding of his own strength.
This abandonment could make Naruto more distrustful. He might become more self - reliant, always expecting the worst from others. For example, he may be hesitant to form new relationships, fearing more abandonment.
Perhaps he is lured away by an unknown force. In some fanfictions, there might be a mysterious character or group that tricks Naruto into leaving Konoha. They could make false promises about his parents or his true power, making him curious enough to follow them.
One possible reason could be for his safety. Konoha is a well - protected village with many skilled ninja. She might believe that leaving him there would ensure he has the best chance at survival and growth as a ninja. Also, she may have some mission or obligation that forces her to leave him behind, perhaps something related to the greater good of the village or the ninja world in general.
On a more positive note, it could inspire some young ninja to step up. They would see Naruto's departure as a challenge to prove themselves and fill the gap he left. His leaving could also make Konoha re - evaluate its relationship with its ninja and how to keep them satisfied and in the village.
It would likely make him more independent. Without the support of Konoha, he'd have to rely solely on himself. This could lead to him becoming more self - sufficient and resourceful.
It could create a sense of loss and insecurity. Sasuke and Sakura are strong shinobi, so their absence might make Konoha more vulnerable to attacks. The villagers might also feel betrayed, especially if they leave without much explanation.
Her banishment can also lead to a sense of bitterness and determination. She may feel wronged by Konoha and be determined to prove them wrong. This could fuel her growth in power and wisdom as she tries to show that she is not the threat they thought she was. She might start to question the values she once held from Konoha and develop her own set of beliefs.