Another reason might be to stop a greater threat. Maybe there was a hidden enemy in the past that they didn't know about before, and by traveling back, they can stop this enemy from becoming too powerful. In some fanfictions, they discover that a small event in the past was the root cause of a much larger and more dangerous future situation.
One reason could be the exploration of a darker side of their relationship. In the original series, Sasuke has moments of aggression towards Naruto, and some writers may want to exaggerate this for a more extreme story. Another reason might be for shock value. Writers may think that creating a story where Naruto is abused by Sasuke will attract readers who are interested in seeing a different and unexpected take on the characters.
There's also 'Back to the Beginning'. In this fanfiction, Naruto and Sasuke go back to their childhood days. It's really interesting to see how they interact with their younger selves and try to change things for the better. They face challenges as they have to be careful not to disrupt the timeline too much.
One reason could be Sasuke's thirst for power. If he believes Naruto is the only obstacle in his path to ultimate power, he might be driven to kill him. In some fanfictions, Sasuke may be influenced by a dark entity that twists his mind into thinking Naruto is a threat that needs to be eliminated.
It could also be due to a misunderstanding. Perhaps there is some misinformation spread about Sasuke in the fanfiction, like false rumors that he has a hidden and malevolent plan. Naruto, being someone who values their friendship deeply, would be scared at the thought of Sasuke turning into an enemy because of these untrue stories.
One possible reason could be to correct some mistakes in the future. Maybe there were some events that led to a really bad outcome, like the destruction of the Hidden Leaf Village, and Kami thought sending Naruto back in time could prevent it. Another reason might be to give Naruto a chance to learn more about his predecessors and gain new powers or knowledge that could help him in his original timeline.
Another reason might be related to their different ideologies within the ANBU. Naruto may have believed in a more collaborative and friendly approach within the organization, while Sasuke might have been more focused on individual achievement and power. This fundamental difference could lead to Naruto hating Sasuke in the fanfiction.
One possible reason could be to protect Hinata. Maybe Sasuke has unknowingly made a move or decision that Naruto perceives as a threat to Hinata, so he scares Sasuke to make him back off.
One possible reason could be his deep connection with Naruto in the original story. Fanfiction might offer new and different perspectives on their relationship, which intrigues him. Maybe he wants to see how others interpret their bond, whether it's their friendship or the complex rivalry. Another reason could be that fanfiction allows him to exist in scenarios that didn't happen in the official storyline, giving him a chance to explore different aspects of his character and his interactions with other characters.
A moment of desperation. For example, if one of them is about to die in the alley due to an injury or a curse. The other, in a rush of emotion, kisses them as a way to convey all the unsaid things, all the love and friendship that has been there all along.
One possible reason could be jealousy. Maybe fem Sasuke is jealous of Naruto's natural charisma or his ability to make friends easily. Another reason might be related to their different goals. If fem Sasuke has a very different view of how to save or change the ninja world compared to Naruto, it could lead to hatred.