If Naruto wasn't from Konoha, his relationship with Sasuke would be very different. Without the Konoha - based rivalry and the shared history of the village, they might not have the intense bond - turned - rivalry that they have in the original story. They could be more like strangers who meet later in life.
His relationship with Sakura would also change. In Konoha, Sakura was part of Naruto's daily life in the village. Without that, Naruto might not have any particular feelings for her at first. And Sakura might not have initially looked down on Naruto as she did in the original story.
His relationship with Sasuke would likely be greatly affected. Sasuke might feel a sense of betrayal or confusion. He may be torn between his loyalty to Konoha and his bond with Naruto. For Sakura, she might initially be in shock but then could try to find a way to bring Naruto back. With Kakashi, he would probably be conflicted. He has trained Naruto and has a certain level of loyalty to Konoha. His relationship with Naruto would become strained as he tries to balance his duties to the village and his feelings for his student.
With his family - like figures in Konoha, such as Iruka, the relationship would be put to the test. Iruka would probably be heartbroken but also hope that Naruto is doing what he thinks is right. In Iwa, Naruto might find a new mentor - like figure who could teach him different things compared to what he learned in Konoha. This new relationship could shape his ninja path in a whole new way.
His departure would definitely put a strain on his relationships. His close friends like Sasuke, if he is back in Konoha at that time, would have mixed feelings. They might worry about Naruto but also be a bit angry that he left without consulting them. Naruto's younger friends like Boruto would be confused and miss him a great deal, and this could lead to some distance in their relationships.
His relationships would become very complex. His friends in Konoha would be in shock. Naruto leaving Konoha for Kumo is like a slap in the face to them. They would wonder what drove him to such a decision. For example, Naruto had such a strong bond with Iruka - his first mentor. Iruka would be deeply saddened and would question if he had failed Naruto in some way. And Naruto's relationship with Kakashi would also take a hit. Kakashi would be worried about what this means for the future and how it could potentially lead to conflict between Konoha and Kumo.
It would create a sense of panic. Naruto is a very important figure in Konoha. His strength has been crucial in protecting the village. Without him, the villagers would fear attacks from other villages or threats from the Akatsuki. For instance, if the Akatsuki knew Naruto had left Konoha, they would likely see it as an opportunity to capture him more easily.
His relationship with Sasuke could be less competitive at first. Since Naruto has already lived through their intense rivalry, he might approach Sasuke in a more friendly and understanding way as a kid. He could try to prevent Sasuke from having some of the negative feelings that led to his later actions.
Konoha's power structure could be affected. Naruto is one of the strongest shinobi in the village. Without him, the village might be more vulnerable to attacks from other villages or threats. They would need to quickly find ways to fill the gap in their defenses.
His relationship with Sasuke would be very different. Since Naruto is raised by ANBU, he might be more competitive with Sasuke in a cold, calculating way. Instead of the friendly rivalry in the original, it could be a more intense battle of skills. Naruto might not be as open to befriending Sasuke, seeing him as a potential threat to his own goals and the secrets he has been taught by the ANBU.
His relationship with Sakura might become strained. Sakura has always been part of Konoha, and Naruto's departure could make her feel abandoned or confused. She might question his loyalty to the village and their friendship.
Naruto's exile would also change his relationship with the villagers. Those who once supported him might turn their backs, while some might secretly hope for his return. And for the new generation of ninja in Konoha, Naruto could become a symbol of the village's wrongdoings, or a hero who was wrongly exiled, depending on how the story is written.