In this type of fanfiction, it's possible that the story delves into Naruto's backstory and how being Sarutobi's son would have affected his childhood. Maybe he would have grown up with more guidance and support, which could have changed his personality. Instead of being the lonely outcast that he was in the original story, he could have been more confident from the start. The fanfiction might also introduce new characters related to Sarutobi that play important roles in Naruto's life. There could be new adventures and challenges that are unique to this new family dynamic, such as Naruto having to uphold the Sarutobi family name and legacy within the Hidden Leaf Village.
Well, a plot twist could be that since Naruto is Hiruzen's son, the Akatsuki targets him differently. Instead of going after the Nine - Tails inside him in the usual way, they might try to use his relationship with Hiruzen against him. They could try to blackmail Hiruzen into making certain concessions for the safety of his son. Also, Naruto's training might be more intense and different. He might be taught more about the political side of being a ninja by Hiruzen himself, which changes his perspective on the ninja world.
Obviously, Naruto would be one of the main characters. And since it's about him being the son of Sarutobi, Sarutobi himself would be a crucial character. There would also likely be the usual Naruto characters like Sasuke, Sakura, Kakashi etc. as they would still be part of Naruto's life in the fanfiction, even with this new family relationship.
One possible motivation could be to create drama. By having Naruto kill Sarutobi, it would shock the readers and create a huge rift in the story's world. It might also be a way to explore Naruto's dark side that we rarely see in the official story.
Another plot development could be that with Sarutobi as his adoptive father, Naruto has access to different mentors. Sarutobi could call in favors from other great ninjas to train Naruto. This would expose Naruto to a wider variety of fighting styles and strategies. Maybe he gets trained by Kakashi earlier, or even has the chance to learn from some of the retired or older ninjas who usually keep to themselves.
A really interesting plot twist could be that the whole concept of 'evil' is a facade. Naruto, as the godson of what is thought to be evil, might find out that Sarutobi was actually in league with this 'evil' all along. They were working together to bring about a new order in the ninja world. But as Naruto grows, he has to decide whether this new order is truly good or just another form of tyranny. He could then use his unique position to either support or oppose Sarutobi and the so - called 'evil'.
One idea could be exploring the early days of the Sarutobi clan. Maybe show how they developed their unique jutsu. Another could be a story centered around a young Sarutobi clan member who has a rare ability and must prove themselves in the Hidden Leaf Village.
In a 'Naruto banished by Sarutobi' fanfic, the plot might revolve around political intrigue within the village. There could be a group that convinces Sarutobi to banish Naruto for their own gains. Naruto, being banished, would likely set out on a journey of self - discovery. He'd meet new allies and foes. He might even discover new powers or lineages that were hidden from him while he was in the village. And all the while, he'd be thinking about getting back to Konoha to clear his name.
Perhaps the plot could involve Sarutobi protecting Naruto from the more malicious elements in the village. He could use his influence to ensure Naruto has a normal childhood, or as normal as it can be for a jinchuriki. Naruto might also inherit some of Sarutobi's wisdom and leadership skills, which would be important for his future development.
Well, it could be about Naruto getting special training from Sarutobi in stealth. Maybe Sarutobi teaches Naruto some ancient jutsu that only he knows. This would give Naruto an edge in battles and make him more respected in the village.
One consequence could be that the village runs more smoothly. With the paperwork out of the way, decisions can be implemented faster.