In terms of his relationship with his mentor, like Kakashi, it could also change. Kakashi might notice Naruto's depression but not know exactly how to help. Naruto might start to doubt Kakashi's guidance, thinking that the Anbu lifestyle was forced upon him, which could create tension between them.
His depression could strain his relationships with his friends. They might not understand why he has become so withdrawn and moody. For instance, Sakura might try to reach out to him, but Naruto could push her away, causing a rift in their friendship.
In the fanfic, Naruto's struggle with depression would have a profound impact on his relationships. His friendship with Kakashi - sensei might be tested. Kakashi is used to Naruto's determination, but now he has to deal with a Naruto who is withdrawn. He might struggle to find the right way to encourage Naruto. Naruto's relationship with the villagers could also take a hit. They may not understand mental health issues and see his depression as something to be ashamed of. This could lead to Naruto feeling even more isolated from the community he once fought to protect, while his true friends' efforts to bridge the gap could become a central part of the story.
Naruto's heartbreak could lead to him being a more unpredictable member of ANBU. Sometimes he might be overly aggressive in his missions due to his emotional turmoil, while other times he could be surprisingly subdued. His comrades in ANBU may have a hard time predicting his actions because of this internal struggle he's going through.
With Sasuke, it could either drive a wedge or bring them closer. If Sasuke blames himself for Naruto getting injured while protecting him, he might distance himself out of guilt. On the other hand, it could also make Sasuke realize how much Naruto means to him and he could become more committed to their friendship.
His apathy can strain his relationships. His friends might feel neglected. For instance, Sakura could be confused and hurt as Naruto no longer shows the same eagerness to be part of the team.
In many of these fanfictions, Sakura's depression can strain her relationship with Naruto. If she's depressed because of her feelings for him, she might push him away. For example, she could avoid him or be short - tempered when he tries to be friendly. With her friends like Ino, her depression might make her seem distant, causing Ino to be worried and try to reach out more.
His illiteracy might make his friends initially frustrated. For instance, Sasuke, who is more studious, could be impatient with Naruto's inability to read important messages. But as they grow, they might become more understanding.
It could make some relationships stronger. His friends might be in awe of his new powers and look up to him even more. But it could also create some distance, as his new status might make others feel inferior.
It can create misunderstandings. For instance, his friends might think he doesn't like them if he recoils from their touches. His romantic relationships could also be affected. If he's in love with someone in the fanfiction, his fear of touch would make it difficult for him to show physical affection, which is an important part of a romantic relationship.
His friends might start to avoid him. If Naruto is constantly snapping at them, they'll feel hurt and not want to be around him as much.
The Uzumaki bloodline can also affect his relationships with characters from other villages. In fanfiction, ninja from other villages who know about the Uzumaki's power might either fear or respect Naruto more. This could lead to different diplomatic situations. For example, a village might be more willing to negotiate with the Hidden Leaf because of Naruto's Uzumaki bloodline. On the personal level, he might meet other Uzumaki descendants in other villages, and they could form a strong bond based on their shared bloodline.