Naruto's character development would be drastically different. He might be more in tune with his 'fox - like' nature from the start. Instead of fearing the Kyuubi's power, he could embrace it as part of his identity.
If Naruto is the son of Kyuubi in the fanfiction, his character development would be drastically different. He would have a different kind of self - discovery journey. His relationship with the villagers could be more hostile from the start. They might not just see him as the container of the Kyuubi but as the actual offspring of the beast they fear. This would force him to grow up faster, in a sense. He would have to prove himself not just as a ninja but as someone worthy of acceptance despite his 'parentage'. His training might also focus more on controlling his in - born Kyuubi - like traits rather than just taming the Kyuubi's power within him.
The 'Naruto Kyuubi Mother' concept can change Naruto's story by adding a new source of guidance. Instead of just relying on Jiraiya or Kakashi, he now has this mysterious connection to the Kyuubi's mother which can lead him in different directions.
Kyuubi's comfort can make Naruto more confident. Knowing that he has Kyuubi's support, he may take on more difficult missions without hesitation. For instance, if he's facing a powerful enemy, he'll remember Kyuubi's words of encouragement and stand his ground firmly.
Naruto's character would become more complex. His usually positive and determined self might be clouded by this hatred. He could become more brooding and less trusting. For example, if he hates his mother, he might start to question his own identity more, since his mother is an important part of his heritage.
Naruto may become more confident. Since being the Kyuubi's kit gives him special powers and a new status, he no longer has to prove himself as much. He could also become more solitary as he has to deal with his new identity which others might not understand.
In fanfiction, the 'godlike naruto kyuubi bloodline' often makes Naruto more confident. Since he has such powerful abilities, he doesn't have to doubt himself as much. For example, he might be more assertive in battles and in his interactions with others.
It could make Naruto more curious about the Kyuubi from an early age. Since his mom was a fan, he might have grown up hearing stories about the Kyuubi that were different from the common view. This could lead him to be more open - minded when it comes to dealing with the Kyuubi's power within him.
His relationships with others would also change. For instance, his bond with Sasuke might not be as intense in terms of power rivalry. Since he doesn't have the Kyuubi, Sasuke may not see him as a threat in the same way. Naruto would probably have to work harder to prove himself worthy to his friends and the village. He'd be more of an underdog in a different sense, relying solely on his own efforts and natural talents rather than the Kyuubi's power, which would lead to a more humble and determined Naruto.
In this fanfiction, their relationship becomes more of a partnership. Instead of Naruto just using the Kyuubi's power, they work together as brothers. Naruto might start to understand the Kyuubi's feelings and motives better.
The fanfiction may portray Naruto's character development as a struggle between light and dark. The Kyuubi memories represent the dark side that constantly pulls at him. At first, Naruto may be confused and even frightened by these new memories. But as the story progresses, he could start to understand them better and use them to his advantage. This could lead to a more mature Naruto, one who has faced his inner demons and emerged stronger. He might become more empathetic towards others who also have inner struggles, having gone through such a profound change himself.