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 They might not understand why he has become so withdrawn and moody.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.
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.
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.
His relationships take a big hit. His friends like Sakura and Shikamaru would find it hard to connect with him. Sakura, who's used to Naruto's warm and often goofy self, would be at a loss. Naruto's lack of emotion means he won't show the same level of care or enthusiasm towards her. With Shikamaru, their conversations would be very different. Shikamaru is used to Naruto's emotional outbursts and quick decisions based on feelings. Now, Naruto would be more reserved and logical, which could strain their friendship.
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.
In terms of his romantic relationships, if a love interest discovers the seal on his heart, it could either draw them closer or create distance. If they are understanding and want to help, it could strengthen their bond. But if they are afraid of the unknown associated with the seal, they might pull away. For example, Hinata might be initially scared but then resolve to stand by Naruto and help him understand the seal.
It can make his relationships more strained. For example, he might push his friends away, thinking he's a burden to them. His teammates might not understand his behavior at first and become frustrated. But some might also be more determined to help him.