Well, in the 'Naruto abandoned by family snapped' fanfiction, Naruto's character arc would likely be a rollercoaster. Since he was abandoned, he could develop a more cynical view of the world. His 'snapped' state might mean he's no longer the optimistic ninja we know. He might use his powers in ways that are more self - serving rather than for the good of the village. This could lead to some interesting confrontations with his former friends and allies who are trying to bring him back to his old self.
One possibility is that Naruto becomes a rogue ninja. With his family abandoning him, he may feel no loyalty to the village anymore. He could start making alliances with enemies of the village, using his skills for their purposes. His snapped state might make him more ruthless, not hesitating to use extreme force.
It might be about Naruto snapping in terms of his personality. For instance, he could snap under the pressure of being the Hokage. He has so many responsibilities, and in the fanfiction, he might lose his patience with the politics, the demands of the villagers, or the internal disputes within the village. This could lead to a whole new arc where he has to figure out how to regain his composure and balance his duties.
In this fanfiction, perhaps Naruto's family abandons him because they believe he's a danger due to his godlike abilities. He might start as a broken character, but as the story progresses, he could use his powers to protect those who accept him, like his friends in Konoha. He would have to overcome the emotional trauma of being abandoned and rise above it all.
One possible plot could be Naruto growing up alone and having to fend for himself. He might develop a very independent and distrustful nature towards others at first. Maybe he starts to question his self - worth, but then through his own determination and some unexpected friendships, he begins to rise above his difficult past and prove himself to the village in ways no one expected.
In some 'naruto abandoned family fanfiction', one idea could be Naruto's struggle with feelings of abandonment and how it shapes his character differently. He might become more distrustful or overly independent.
A plot twist might be that Naruto's family abandonment was part of a prophecy. In the fanfiction, it could be that in order for Naruto to fulfill a certain destiny, he had to be abandoned so that he could grow in a specific way. Also, there could be a plot twist where the person Naruto thought was his enemy all along was actually the one who knew the truth about his family and was trying to guide him back to them in a roundabout way.
One possible plot could be Naruto being abandoned not just by his village but also his family due to the mystery surrounding the Sharingan. Maybe his family had a connection to the Uchiha clan and feared Naruto's potential with the Sharingan. So they left him to fend for himself. As he grows, he discovers his family's secrets related to the Sharingan and has to struggle with his new - found powers and the feeling of abandonment.
In a Sonic fanfiction where Naruto is abandoned by family, it could be a creative mash - up of two different universes. Maybe the writer wants to explore the idea of Naruto's character in a new and extreme situation. It could be that the 'family' in this context is a fictional or re - imagined version within the Sonic - influenced world.
Naruto might cope by focusing on becoming stronger. He could see his abandonment as a motivation to prove himself. With the Sharingan - related powers, he might train rigorously to show his family that they were wrong to leave him. He could also make new friends who support him and help him through the tough times, replacing the family he lost.