Naruto would probably describe his relationship with Iruka - sensei as very special. Iruka was like a father figure to him. He might say that Iruka was the first to believe in him and give him the recognition he so desperately wanted.
In fanfic, the Naruto robot body can have a significant impact on his relationships. His friends might initially be shocked or even a bit distant. For example, Sakura might be hesitant to get close to him at first because he seems so different now. However, as time passes, they could come to accept and even admire his new form. His enemies, on the other hand, might see him as an even greater threat. They would have to adjust their strategies when facing a Naruto with a robot body that has enhanced abilities. Some might be more cautious, while others might be more aggressive in trying to destroy this new and powerful version of Naruto.
When Naruto releases the Kyuubi in the fanfic, it might change his relationship with his sensei, Kakashi. Kakashi would be on high alert, ready to step in if Naruto loses control. At the same time, he would be guiding Naruto on how to better manage the Kyuubi's power. This could bring them closer as Naruto learns from Kakashi's experience. And Naruto's relationship with the other ninja in the village would also shift. Some would look up to him more as a powerful force to protect them, while others might be jealous of his new - found strength.
With Sasuke, it could go either way. Sasuke might see Naruto as an even greater rival now that he has the Kyuubi's power. Or, he could respect Naruto more for being able to harness such a great power. But overall, it would add a new dynamic to their complex relationship.
In terms of his rivals, like Sasuke, Sasuke might view Naruto's new hairstyle as a sign of him trying to be different or better. This could either fuel their rivalry more or, in an interesting turn, make Sasuke respect Naruto's confidence in changing his look.
It would have a huge negative impact. Naruto's friends have come to rely on his emotional support and his ability to inspire them. Without his emotions, he might not show the same enthusiasm in helping them. His friendship with Kakashi would also change as Kakashi has guided Naruto in part based on his emotions and his will to protect his friends. Naruto might seem distant and unresponsive, causing his friends to feel rejected.
His relationship with Sasuke could change. Sasuke might be initially jealous of Naruto's new power. But as they face challenges together, Sasuke could come to respect it. For example, if Naruto uses telekinesis to save Sasuke from a dangerous situation, Sasuke would see the value of it.
His relationships with his friends might have become strained. Since he was in seclusion, he wouldn't have been able to interact with them regularly. They might have felt abandoned and been initially angry or hurt.
His relationships with his friends like Sasuke and Kakashi would also be affected. Sasuke might understand Naruto's decision on some level, having also left the village before. Kakashi, on the other hand, would be worried about Naruto. He might try to find him and bring him back. This could create some tension between Naruto and Kakashi as Naruto tries to assert his independence.
His relationships with his peers can become more intense. For example, with Iruka - sensei, Naruto might cling to him more as a father figure. With his teammates, he may be overly eager to prove himself worthy of their friendship. He could be more sensitive to any signs of rejection from them.
It might make him more distant from his friends at first. He could be so consumed by his anger towards his parents that he withdraws from his usual social circle. For example, he might avoid spending time with Sasuke or Sakura because he is too preoccupied with his feelings about his parents.