Often in fanfiction, the resemblance between Naruto and Minato can be for emotional impact. When other characters see Naruto looking like Minato, it can stir up memories and emotions related to Minato. This can create interesting character interactions, like when the older generation sees Naruto and is reminded of Minato. It also adds an extra layer to Naruto's character as he might start to understand more about his father through this physical resemblance, like how people might react to him differently because of it.
Well, one reason could be genetics. In the Naruto universe, Kushina was Naruto's mother. So in fanfiction, the author might want to emphasize this genetic connection by making Naruto look like her. It could also be for a plot device. Maybe there's a story where Naruto's resemblance to Kushina plays an important role in uncovering some long - lost family secrets or in a prophecy.
One reason could be that Minato values the original narrative and the way his story was intended to be told. Fanfiction can sometimes introduce elements that he might find inappropriate or not in line with the values and themes of the Naruto world. For example, some fanfictions might create overly dramatic or out - of - character scenarios for him, which he would not approve of.
It could be that in the fanfiction, there are made - up events that lead Naruto to hate Minato. For instance, if there is a plot where Minato was thought to have some dark secrets that affected Naruto's life badly, like being involved in some sort of conspiracy against Naruto without his knowledge. This would give a reason for Naruto to hate him.
Maybe it's because of the hardships Naruto endured due to Minato's actions. Minato's decision to seal the Nine - Tails in Naruto made him an outcast. In fanfiction, this could be exaggerated to the point where Naruto blames Minato for all his pain and suffering, leading to hatred.
One reason could be a genetic quirk or some sort of chakra - related phenomenon. Maybe there was a hidden seal or something that was activated, causing Naruto to inherit not just Minato's looks but also his mannerisms. Another possibility is some kind of reincarnation or spiritual connection.
It could start with Naruto being born and Minato and Kushina getting to raise him. They would teach him all about chakra control and ninjutsu. Naruto would be a happy kid growing up in a loving family environment.
One possible reason could be a miscommunication in the fanfiction. Maybe some secrets were kept from Naruto about his parents that made him feel betrayed when he found out, thus leading to hatred.
Their relationship could become even stronger. Seeing the future together would make them more aware of their bond as father and son. Minato might become more protective, even in the present, knowing what Naruto will face in the future.
Well, in some fanfics, Minato might see more of himself in Naruto. Naruto has his determination and the will to protect the village just like Minato did. Also, Naruto being his son, he could have a special connection that he doesn't have with Kushina in the same way. Maybe Naruto's journey to become a great ninja reminds Minato of his own past, so he has a stronger liking for Naruto.
Naruto could incorporate Minato's sword - fighting skills if he has any in the fanfiction. Minato was known to be proficient with weapons. Also, Naruto might use Minato's strategy of quickly assessing the enemy's weaknesses and then striking precisely at those points. He could even use some of Minato's signature jutsu in a more efficient way, like the Rasengan, but with Minato's finesse.