If Naruto becomes cold - hearted, his relationships with the villagers would change drastically. The villagers, who once saw him as a hero, would now be faced with a cold and unapproachable Naruto. Children who used to look up to him would be scared. His friends from the Akatsuki days, like Nagato, might even see this new Naruto as a threat. Overall, his relationships would go from being warm and friendly to cold and distant, filled with suspicion and unease.
If Naruto becomes cold, his relationship with Hinata would be severely affected. Hinata, who loves him for his warm heart, might be at a loss. Naruto might start to push her away, not allowing her to get close. His friends from Team 7 might try to bring back the old Naruto, but his coldness would create a rift between them.
If Naruto becomes a nukenin, his relationship with the village elders would be completely severed. They would see him as a threat, and he would see them as unjust. With his peers, some might side with him, believing in his innocence. Others would follow the village's orders out of loyalty. His bond with the Nine - Tails would also change. The Nine - Tails might offer more support, seeing Naruto as an outcast like itself.
His relationship with Sasuke would be greatly affected. Sasuke, who has his own experiences with the idea of killing, might see Naruto in a new light. They could either become rivals again or Sasuke might try to 'save' Naruto from his new dark path. With Sakura, she would be horrified. She's always seen Naruto as a positive force, and this change would make her question everything. She might even try to use her medical skills to 'cure' Naruto of his new - found killer tendencies.
If Naruto becomes a Saiyan in fanfiction, his relationship with his mentor, like Jiraiya, could be different. Jiraiya would have to guide Naruto in handling these new Saiyan powers. Naruto's friends might be both in awe and a little scared. For example, Sakura might be worried about Naruto losing control of his new powers. And his relationship with the villagers could change too. Some might see him as an even greater protector, while others might fear his new, more alien - like powers.
Well, his relationship with the village as a whole would be one of enmity. But on an individual level, some of his friends might secretly support him. Naruto would likely be more cautious about trusting new people. His connection with the other jinchuriki might become stronger as they can relate to his situation of being an outcast. His relationship with Kakashi - sensei would be filled with conflict. Kakashi would have to balance his duty to the village and his feelings for Naruto, who he has trained and cared about.
Well, Naruto's relationships would change significantly. For instance, his relationship with his sensei, Kakashi, could shift. Kakashi would become more of a mentor in a different way, guiding Naruto through this difficult time. With his peers, they would no longer see him as just the powerful ninja he once was. Some might pity him at first, but Naruto's positive attitude could turn that pity into respect. And his relationship with the village as a whole would change too. He would become more of an inspiration, a symbol of perseverance in the face of adversity.
Naruto's relationship with his students, if he has any as a Jounin, would be very important. He would be a mentor figure. He would have to be strict but also kind, just like Kakashi was to him. He would pass on his values and ninja techniques. His relationship with the Hokage would also be different. He would be closer to being an equal, having more say in important decisions regarding the village's security and future.
His relationship with Sasuke would be very different. Sasuke might see Naruto as a threat at first, given the power of the Juubi. But eventually, they could come to an understanding. Naruto would still want to protect Sasuke, and Sasuke might realize that Naruto's intentions are pure even in his Juubi form.
With his friends in Konoha, like Sakura and Kakashi, there would be a major shift. Sakura might initially be conflicted between her loyalty to the village and her friendship with Naruto. Kakashi, being a more experienced shinobi, might understand Naruto's reasons better but still be bound by his duties to the village. Overall, Naruto's departure as a nukenin would create a lot of emotional turmoil among his relationships.
Her relationship with her family could also be different. Her parents might treat her more delicately or have different expectations. And her siblings might tease her in new ways or be more protective. Also, her relationship with her enemies could change as they might underestimate her or be more hesitant to fight a girl.