One possible reason could be Naruto's independent nature. He has always strived to make his own path and not rely on his father's legacy too much. So in the fanfic, he might refuse Minato to show that he wants to be his own person, not just Minato's son.
Naruto's character development includes learning about sacrifice and the importance of bonds. In the fanfic, his refusal of Minato could be a sign that he has outgrown the need for a father figure in the traditional sense. He has formed deep bonds with others like Iruka, Kakashi, and his friends. These relationships have made him strong enough to face Minato and say no if he feels it's necessary for his own growth and the protection of those he cares about.
Well, it depends on the specific fanfic. Some fanfics might really emphasize Naruto's growth to be on par with Minato in terms of smarts. They could show Naruto learning from Minato's memories or having some sort of spiritual connection that transfers knowledge. However, other fanfics might focus more on other aspects of Naruto's character and not necessarily make him as smart as Minato.
Kushina could be an important character even though she's dead in the original story. In this fanfic, her spirit or memories could play a role in Naruto's upbringing. For example, Minato could tell Naruto stories about Kushina's feisty personality and her love for the village.
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.
Well, Naruto has had the advantage of learning from many great shinobi over time. He also has a unique bond with his friends which could potentially give him more strength. Minato, on the other hand, had a shorter lifespan to develop his powers. Naruto has had more time to grow and surpass his father in strength.
Well, the story could develop in many ways. Maybe Naruto could be an orphan found by someone else in the village, like an old ninja who decides to train him in secret. This would change Naruto's backstory completely. He might not have the same kind of pressure or expectations that come with being the son of a famous Hokage. His character could grow in a different direction, perhaps being more independent from the start as he has to create his own identity without the shadow of his 'father' Minato.
Yes, it's quite possible. Fanfic authors enjoy re - imagining established relationships. The idea of Naruto being Minato's brother instead of his son can lead to interesting plot twists. For example, their interactions would be different, perhaps more like equals or rivals in some aspects. Also, the way other characters in the Naruto series would interact with Naruto in this new relationship context could open up many new story possibilities.
Well, without having read it, it could be about Minato's journey as a master. In the Naruto world, Minato was a very powerful ninja. In this fanfic, it may focus on how he imparts his knowledge and skills. For example, he might teach new jutsus to his students. It could also show his role in the village as a master, perhaps in leading missions or protecting the village. And it might even delve into his family life, considering he is Naruto's father, and how that affects his role as a master.
A common theme is family. Since Minato is Naruto's father, fanfics often explore their family connection, like how Naruto yearns for his father's presence. Another theme is legacy. Minato was a great Hokage, and fanfics show Naruto following in his father's footsteps.