His relationship with Sasuke would become more complex. Since they are from different villages now, there would be a new dynamic. Sasuke might see Naruto's move as a betrayal to Konoha at first. But Naruto's intention could be to bridge the gap between the two villages for Sasuke's sake too.
His relationship with the people of Konoha would also change. Some in Konoha might feel abandoned, while others would understand his long - term goal of uniting all the villages. Naruto would have to maintain his ties with Konoha from afar, and his actions in Kumogakure would always be under the scrutiny of both his old and new comrades.
His relationships would become more complex. He'd have to start from scratch with new people. Some might be friendly right away, while others could be hostile.
His relationship with Sasuke would become even more complex. Sasuke might see Naruto's joining of Akatsuki as a betrayal or a sign that Naruto has finally given up on Konoha. Naruto's old friends in Konoha, like Sakura and Kakashi, would be very confused and hurt. They might try to bring him back, but also be wary of his new Akatsuki ties. And within Akatsuki, Naruto would have to navigate relationships with members who have different motives and personalities, some of whom might not trust him at all.
His relationship with Sasuke would be interesting. Sasuke might be initially suspicious of Naruto's decision to join such a secretive group. But Naruto could convince Sasuke that he's doing it for the greater good of the village and the ninja world, and they could end up working together on some behind - the - scenes missions.
His relationship with Sasuke would be greatly affected. Sasuke might see Naruto's move as a betrayal to Konoha and their bond. On the other hand, Naruto's relationship with Konan would become very strong as they are now comrades in Amegakure. He might also form new friendships with the shinobi of Amegakure who would look up to him for his power and his new ideas for the village.
His relationships with his old friends in the Hidden Leaf would become extremely strained. They would see him as a traitor. For example, Sakura might be heartbroken and angry at him. Kakashi would be disappointed. However, within Akatsuki, he could form new relationships. He might become friends with some of the members who have a similar background of being misunderstood. For instance, he could bond with Hidan over their strong beliefs, though their beliefs are very different in nature.
If Naruto is banished to Suna, his relationships will shift significantly. In Konoha, he had friends like Sakura and Shikamaru. But in Suna, he'll be starting from scratch. With Gaara, their relationship could deepen as they both understand the pain of loneliness. Naruto could also become a mentor - like figure to some of the younger Suna ninjas. His relationship with the Suna elders might be a bit tricky at first, as they would need to trust him, but over time, it could grow into respect and mutual cooperation.
Naruto's relationship with his sensei, Kakashi, would be severely strained. Kakashi has always been a guiding figure for Naruto, and Naruto joining the Akatsuki would seem like a betrayal. However, Kakashi might also suspect that Naruto has an ulterior motive. As for his relationships with the other Konoha ninjas, they would be filled with suspicion and mistrust. But Naruto could also form new relationships within the Akatsuki. He might befriend some of the members who have a bit of good in them, like Konan perhaps, and together they could work towards a new future for the Akatsuki.
His relationships with his human friends might become a bit strained at first. He would be spending a lot of time at the academy, away from them. But with his new Shinigami friends, he would develop strong bonds. They would understand his new life and challenges better. For example, he might have a mentor - like relationship with an older student or a friendly rivalry with someone of equal strength.
His relationship with Annabeth would become more complicated. Long - distance and the difference between the two camps could put a strain on their relationship. Among the Romans, he might develop a close friendship with some of the more battle - hungry demigods who admire his skills. He could also have a rocky start with the Roman leaders who may be cautious about his motives.
Naruto's character would likely experience a shift in values. While he still holds onto his ninja values of friendship and loyalty, he would start to embrace the Slytherin traits of ambition and cunning. He might be more strategic in his battles, using his opponents' weaknesses against them in a more devious way. Also, his relationships with others could change as he adapts to the more cut - throat environment of Slytherin.