In a fanfic with Minato and Kushina abandoning Naruto, the story could take many turns. Firstly, Naruto's character development would be drastically different. He may not have the same drive to protect the village as he does in the original. Secondly, the relationships he forms would be different. He might not be as close to Iruka or Kakashi. Thirdly, the overarching themes of family and sacrifice would be completely re - written. Instead of having a sense of longing for his parents' love, he could be more independent and cynical. And the whole idea of the Uzumaki clan and its connection to Naruto could be explored in a new and unexpected way.
Well, in a fanfic where Minato and Kushina abandon Naruto, it would completely shift the dynamics. Naruto would likely have to fend for himself from a very young age. He might not have the same positive attitude towards the village either. It could also mean that he doesn't inherit their abilities in the same way or at all, and his journey to become a strong ninja would be filled with more self - discovery and less about living up to his parents' legacy.
If Minato and Kushina abandon Naruto in a fanfic, it could lead to a much darker Naruto. He might grow up more jaded and bitter. Without their love and support, he could be more easily influenced by negative forces. Maybe he'd have a harder time believing in friendship and loyalty, which are such important themes in the original story.
The story could also show Naruto being taken in by other characters, like Iruka at a very early age. Iruka, seeing Naruto's situation, decides to be like a father figure to him. Naruto might then develop a different set of values based on Iruka's teachings rather than the absent influence of Minato and Kushina. He could become more focused on family values within the village, seeing the village as his true family since his biological family left him.
Perhaps it has to do with a prophecy. They might think that Naruto has a special destiny and that their leaving is a necessary step to set that destiny in motion. They could believe that Naruto needs to grow up on his own to become strong enough to face future challenges.
The story would change a great deal. For one, Naruto wouldn't have the same connection to the Nine - Tails as he does in the original. Minato sealed the Nine - Tails into Naruto, so without that relation, the whole dynamic of the Nine - Tails within Naruto would be different. He might not have the same power - up moments related to the Nine - Tails.
In some cases, Naruto might initially become bitter towards his parents. But as he experiences more in life and learns about the possible reasons behind their actions, he could come to understand and even forgive them. His reaction would also depend on the people around him. If he has good friends or mentors, they could help him deal with his emotions in a more positive way.
In such a fanfiction scenario, the village of Konoha would be affected too. Minato is a respected figure. His abandonment could cause a scandal. Naruto might not have the same level of protection from the village elders. This could lead to different power dynamics within the village. Maybe other ninja clans would try to take advantage of Naruto's situation. Also, Kushina's family might react in various ways, some might try to find Minato and some might focus on taking care of Kushina and Naruto.
Even Kakashi could be a role model for Naruto. Kakashi has his own traumas and has learned to deal with them. He could show Naruto how to be strong in the face of difficulties and how to use his skills for the good of the village. Kakashi's sense of loyalty and duty could inspire Naruto to be a great ninja despite his difficult start in life.
Well, if Naruto was raised by Minato and Kushina, one major change would be his self - esteem. He wouldn't be the outcast he was in the original story. Growing up with his parents, he'd have a strong sense of family and love. He'd probably be more confident in his abilities from the start. Also, his training might be different. Minato could teach him some of his signature jutsu at an earlier age. And Kushina could pass on her strong - willed nature to him more directly.
Well, in such a fanfic, Naruto would probably have a very different personality. He might not be as optimistic. His training might take a different path too. Instead of having the Nine - Tails as a sort of legacy from his father, he could see it as just a curse that was left with him when he was abandoned. His bond with the village might be weaker as he was rejected by the two most important people who were supposed to be from the village in the first place.
Naruto could be found by Orochimaru. This would be a very dark turn. Orochimaru could use Naruto's potential for his own evil plans. Naruto would be trained in Orochimaru's unethical ways, and his view of the ninja world would be completely distorted. He might become a villain or at least an anti - hero, very different from the Naruto we know in the original story.
There's a fanfic called 'Minato's Return'. In this story, Minato somehow returns and gets to see Naruto's growth. It's really interesting to see how he interacts with Kushina, who is also there in the story, and how they both guide Naruto in new ways. The descriptions of their family bond are heartwarming.