He could be interested in exploring relationships in the fanfiction world that are different from what he experiences in the official story. For example, different friendships or rivalries. Fanfictions can provide a new perspective on these aspects.
One reason could be that both the 'Harry Potter' world of Hermione and the 'Percy Jackson' world share elements of magic and adventure. The complex characters and their relationships in Percy Jackson fanfiction might appeal to her. Also, the different interpretations of the Greek mythology in the fanfiction could be interesting to Hermione as she is a very studious character who would likely enjoy exploring new takes on ancient stories.
One reason could be Naruto's strong will. Naruto has faced so many difficulties but never gives up. Kakashi, seeing Naruto's perseverance, might be moved to tears as he remembers his own past struggles and how Naruto is so different yet so inspiring. He might cry out of pride for Naruto's growth.
Perhaps Raven loves Naruto fanfiction because it offers a sense of escapism. The Naruto world is a place full of adventure, magic (in the form of chakra), and heroic deeds. Reading fanfiction allows Raven to immerse herself in this world and forget about the real - world problems for a while. Additionally, the community around Naruto fanfiction can be very engaging, with people sharing their own ideas and interpretations, which could also be a draw for Raven.
One reason could be her deep connection to Naruto. Since she cares about him a great deal, she might be interested in different interpretations of his story in fanfiction. Another reason could be that fanfiction allows for scenarios that the official story doesn't cover. Sakura might be curious to see how other fans imagine Naruto's adventures or his relationships, including the one with her.
Another plotline is that Naruto's love for bugs causes a rift between him and some of his friends who don't understand his fascination. However, as time passes, he manages to show them the importance and wonder of bugs, and they eventually come around. For instance, Sakura might initially think it's a silly hobby but later see how it helps Naruto in his ninja growth.
There are several possible reasons. For one, it could be a way to subvert the expectations of the Naruto character. In the original series, he's so pure and full of life. By having him smoke in fanfiction, writers can create a contrast. It might also be used to set a certain mood, like a gritty or more adult - oriented atmosphere. Additionally, it could be a symbol of his rebellion or a sign of him breaking away from the norms of his ninja village. Writers might use it to explore a different side of Naruto that wasn't shown in the original story.
One reason could be the waning popularity of the Naruto franchise over time. As new shows and series emerge, some fans shift their attention away. Another factor might be that the quality of fanfiction has declined. With so many people writing, there's a lot of poorly written stuff that turns readers off.
One reason could be to explore a different character arc. Writers might want to see how Naruto would develop if he had a more violent nature from the start. Another reason is to add drama. A bloodthirsty Naruto would create more conflict within the story, especially with his friends and the village. Also, it could be a way to show a more 'realistic' or gritty version of the Naruto world, where characters are not always so morally upright.
One reason is that some fanfiction authors may lack a deep understanding of Naruto's character. They might write things that are completely contrary to his values and personality just for the sake of creating a 'unique' story. For example, Naruto is known for his positive attitude and strong will, but in some fanfictions, he could be depicted as a negative or spineless character.
If his favorite is 'Doki Doki Literature Club!', perhaps he likes how it subverts expectations. It starts as a normal - looking dating sim but then goes into very dark areas. This element of surprise can be appealing.