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.
If he changes to a more approachable look, like wearing lighter colors and having a more open expression, his relationship with his students could improve. They might be less intimidated and more willing to ask him for help. For instance, Neville Longbottom could finally feel comfortable enough to approach Snape for extra Potions lessons.
His friends might respect him more for having a useful new skill.
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 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.
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 his sensei, like Kakashi, would also change. Kakashi would probably be more cautious and try to guide Naruto in using this power responsibly. Naruto's new power could also attract the attention of new characters, either those who want to use him for their own gain or those who want to help him master it. This would bring new dynamics to his relationships.
If Harry changes his look to seem more intimidating, it might make some of his enemies more cautious around him. For example, if he has a more severe look with a long beard and a scowl, the Death Eaters might think twice before attacking him. As for his friends, they might be a bit taken aback at first but would quickly accept the new look.
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.
Naruto's relationship with the elders of Konoha would also be affected. The elders might see him as more of a threat now, especially if they don't fully understand the nature of his Mangekyou Sharingan. They could try to keep him in line or even restrict his movements. However, Naruto, with his new power, might be more confident in standing up to them and demanding changes in the village's policies. This could lead to a power struggle within Konoha, with Naruto at the center, trying to balance his newfound power and his loyalty to the village.