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.
The relationship can be developed by having Minato appear in Naruto's memories more vividly. For example, Naruto could start having flashbacks of Minato's training sessions or family moments that he didn't know about before. This would make Naruto feel closer to his father.
Minato might show his protectiveness by always being near Naruto in spirit. For example, he could leave behind some kind of jutsu or power that activates when Naruto is in great danger, like a hidden seal that releases a powerful defense.
Yes, there might be. The Naruto fandom is quite large and diverse, so there could be fanfictions exploring such dark and alternate scenarios. However, these often deviate from the original positive relationship portrayed in the official series.
In fanfiction, Naruto and female Minato could have a really interesting dynamic. For instance, Minato's femininity might bring out a different side of Naruto's character. He could be more protective of her, or she could inspire him in new ways. Maybe she has a special way of seeing the world that Naruto starts to adopt, leading to his growth as a ninja.
One possible aspect of a Naruto and female Minato fanfiction could be exploring an alternate timeline. Maybe in this story, Minato was born as a female and still became the Fourth Hokage. Her relationship with Naruto would be very different, perhaps more maternally strong. She could teach Naruto unique jutsu that she developed as a female ninja, which might have different elements compared to the male Minato's techniques in the original story.
There could be. Fanfiction often explores various 'what - if' scenarios, even the disturbing ones like Naruto being abused by Minato. But these are not in line with the positive image of Minato in the main story. Writers may create such stories to explore extreme character development or just for shock value.
Minato being alive in fanfiction could mean more guidance and protection for Naruto. It could also lead to new alliances and conflicts within the ninja villages.
Jiraiya is likely to be a popular character. He was Minato's teacher and has a strong influence on Naruto as well. In a time travel fanfiction, he could provide a lot of wisdom and help in the different situations they encounter. Also, Tsunade could be important. Her leadership skills and medical ninjutsu could be very useful when they are in the past, and she has her own history with both Minato and Naruto's family.
At first, Naruto and Kushina might start to distance themselves from Minato. They could avoid him and not talk to him as much. As time goes on, the hatred might grow deeper. Naruto could start to oppose Minato in public or in important village matters. Kushina might also try to influence others in the village against Minato.