Perhaps he is influenced by someone he admires who has red hair. It could be that he saw someone with red hair doing something really cool and he wanted to emulate them in some way, starting with the hair color.
Maybe he just wants a new look. Naruto is always known for his wild and adventurous spirit, so dyeing his hair red could be a way to show his rebellious side or simply to stand out more.
Shikamaru might just sigh and say something like 'What a troublesome thing to do, Naruto.' But deep down, he would also be a bit curious about why Naruto decided to dye his hair red.
Perhaps it's a genetic thing that gets triggered later in life. In some fanfictions, Naruto's family history could be rewritten or expanded. There might be some hidden genetic trait from an ancestor that suddenly surfaces, causing his hair to turn red. This could also be linked to a new power or ability that he has to learn to control as his appearance changes.
Well, perhaps it's a sign of his connection to a new, mysterious entity. For example, he might have made a pact with a powerful ice - based spirit or demon, and as a result, his hair turned white like snow. Or it could be due to a powerful transformation that was caused by a unique combination of his Uzumaki and Namikaze bloodlines. In the world of fanfiction, there are countless ways to explain such a change, and this is just the tip of the iceberg.
It could be a misunderstanding. Perhaps Naruto was involved in an incident where his actions were misinterpreted by his brother. For example, Naruto might have accidentally caused harm to someone his brother cared about while trying to do something good, and his brother didn't get the full story and started to hate him as a result.
It could be due to a genetic mutation in the Naruto universe. In some fanfictions, there might be a hidden genetic factor in his family line that gets activated. For example, perhaps Minato or Kushina had a recessive gene for white hair that Naruto inherits and it suddenly shows up under certain circumstances, like extreme stress or a coming - of - age moment in his ninja journey.
One possible reason could be that Naruto feels abandoned. His father was not around during his childhood, and he had to face a lot of hardships alone. Growing up without a father figure, he might have developed resentment.
One possible reason could be that Obito sees Naruto as a means to fulfill his own twisted ideals. Maybe he wants to shape Naruto into a weapon against the Hidden Leaf. Another reason might be that he feels some sort of connection to Naruto because of their shared experiences of being alone and ostracized in the past. He could also think that by taking Naruto as a baby, he can prevent Naruto from becoming the hero the village wants him to be, thus disrupting the balance in the ninja world.
One possible motive could be Naruto's extreme sense of loyalty and friendship. He might believe that by sacrificing himself, he can save Sasuke from the darkness completely. He could think that his death would shock Sasuke into realizing the error of his ways and bring him back to the side of good.
Perhaps in the fanfic, Naruto is trying to fit into a different group or culture. His original hair style might make him stand out in a negative way in that context, so he changes it to be more accepted. Or it could be part of a bet or a challenge. For instance, he loses a bet with his friends and as a consequence, he has to change his hair style.
In this fanfiction, it could be that Naruto's parents were under some sort of mind - control. Some evil entity could have taken over their minds and made them feel hatred towards Naruto. Also, it might be related to a family secret or feud. There could be something in the family's past that made them believe Naruto was a stain on their family name, even though Naruto himself was innocent. It could also be a case of false information being spread around the village which made his parents believe lies about him.