If Naruto were Hiruzen's son in a fanfiction, his character development would take a whole new turn. He'd grow up with a different set of values instilled in him. He might be more diplomatic from the start, having been exposed to Hiruzen's leadership style. His motivation to become Hokage might be less about seeking recognition and more about following in his father's footsteps. Also, his relationship with the village elders would be different. Instead of being an outcast, he'd be seen as the heir, which would bring its own set of challenges and opportunities for growth.
His character would likely be more refined. With the Sarutobi clan's influence, he'd have better access to knowledge and proper guidance. He might not be as brash as in the original story. For example, he'd learn the importance of diplomacy and strategy earlier.
Naruto's jutsu repertoire would be different. Hiruzen could teach him some of his own signature jutsu or long - forgotten techniques. This would make Naruto stand out even more in combat. He might also be better at taijutsu as Hiruzen could have trained him in more traditional and refined forms of hand - to - hand combat. His overall combat style would be more refined and less reliant on brute force. This new - found finesse in combat would earn him more respect from his peers and opponents alike.
Naruto would become more well - rounded. With Hiruzen's training, he'd gain more discipline. In the original, Naruto was a bit of a wild card. But under Hiruzen, he'd learn to control his impulses better. For example, in battles, he'd think more strategically instead of just charging in.
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.
Yes, in certain fanfictions Naruto hates Hiruzen Sarutobi. Fanfiction often takes the original characters and storylines and twists them. Maybe the writer of such a fanfiction thought that Hiruzen's actions, like not fully protecting Naruto when he was a child, could lead to Naruto having negative feelings towards him in this alternate take on the story.
His character development would be very different. For starters, he might not have the same drive to prove himself. Since he would be the son of a highly respected founder, he would already have a certain status. However, he could still face challenges related to living up to his father's legacy.
One reason could be the way Hiruzen treated Naruto as a child. In the original, Naruto was kind of an outcast, and if in fanfiction, Naruto blames Hiruzen for not doing more to prevent that, he could hate him. Another reason might be related to Hiruzen's decisions regarding the Uchiha clan. If Naruto in fanfiction feels that Hiruzen's actions led to bad consequences for the village and his friends, he might develop hatred.
Naruto's character would change a lot. He'd become more reserved perhaps, as Sesshomaru is a rather aloof character. But he'd also have a new sense of power and pride. His development could involve learning to control his new demon powers, which might be more difficult than his chakra control. He might start to view the world from a more demon - like perspective, seeing things in terms of power hierarchies more often.
Naruto might be more knowledgeable about the history and politics of the village. Hiruzen, being the Hokage, would surely educate Naruto on such matters. This would make Naruto more diplomatic and better able to handle complex village - related issues. He would also be more respectful of traditions and the hierarchy within the village, having been raised by the village's leader.
Naruto would likely be more confident. Since Hiruzen is a respected figure, Naruto would grow up feeling more secure. He'd probably be less impulsive as he'd have Hiruzen's wisdom to guide him.