His relationship with Sasuke might change. Sasuke always saw Naruto as a strong rival, and a big part of Naruto's strength was Kurama. Without Kurama, Sasuke might view Naruto differently. Also, Naruto's friends might be more protective of him, as they know he's lost a major source of power.
If Kurama is fully sealed in the Naruto fanfiction, Naruto's relationships will be affected in multiple ways. His comrades in Konoha would be worried about him. They might be more cautious when sending him on dangerous missions. His relationship with Hinata could also be influenced. Hinata might be more assertive in protecting Naruto. Moreover, Naruto's standing among the other Jinchuriki could change. He would no longer be seen as one of the most powerful among them. This could lead to new alliances or rivalries depending on how others perceive his new, less - powered state.
Well, Naruto's power would be severely reduced. Kurama was a huge source of his chakra and strength. Without Kurama's power, Naruto would have to rely more on his own natural abilities and the skills he has learned over the years. He might become more like his early self, having to strategize and train harder to face strong opponents.
It could make his friends more protective. Since Naruto is in a weakened state without his full chakra, his friends might be more concerned about him and try to keep him out of dangerous situations.
On one hand, it can strengthen his relationships. His friends might be inspired by his seemingly unwavering happiness. They might think that Naruto is so strong - mentally and emotionally - that they admire him more. For example, Sakura might see his happy face and feel more confident in their team.
However, some might also be a bit jealous. Sasuke, for instance, could initially feel a twinge of envy seeing Naruto's new power. But as time goes on, they could learn to work together better. Naruto could use his eagle vision to assist Sasuke in his own quests, like finding certain targets or seeing through illusions that Sasuke has trouble with, thus mending any rifts and building a stronger partnership.
It could make him very distrustful at first. He might have a hard time believing that others truly care about him. For instance, when his friends try to be nice, he might think they have ulterior motives.
It would likely make his relationships very strained. He might be constantly suspicious of people's motives, thinking they will abandon him too. For example, he might have a hard time getting close to his peers like Sasuke and Sakura. He could see any kindness as a potential trap or something that will be taken away from him in the end.
In a romantic relationship, it would be a major obstacle. His partner would have to be very patient and understanding. They would need to find other ways to show love and closeness, as physical touch is a common part of a romantic relationship. This could potentially slow down the development of a romantic relationship.
On the positive side, it could bring him closer to those who also have issues with his father or the old ways. There might be some characters who have been wronged by Naruto's father's decisions in the past. Naruto's hatred could make them form an alliance of sorts, united by their shared negative feelings. However, overall, it would likely cause more problems than benefits in his relationships.
It could make the plot more focused on Naruto's internal growth as he no longer has Kurama's power. He has to rely more on his own skills and the bonds he has formed with his friends.
Well, it could make his friends both in awe and a bit scared. They might see him as more powerful but also different now. Some friends could be more eager to be around him for protection, while others might be hesitant, not knowing how to act around this new, more powerful Naruto.