His relationships would become more complex. The wraith powers could have a corrupting influence, which his friends would try to fight against. But Naruto, being Naruto, would resist that. Shikamaru might be the one to come up with strategies to keep Naruto in check if the powers start to take over, while still remaining his friend.
It might actually strengthen his relationships in some ways. His friends could see him as an even more powerful ally. Naruto, with these new powers, could protect them better. Sakura, for instance, would feel safer around him and this could lead to a deeper bond of trust between them.
If Naruto had hidden powers, it might make his friends a bit more cautious around him at first. They'd be in awe of his new abilities but also worried about how he'd change. For example, Sasuke might see Naruto's hidden powers as a threat to his own goals, which could strain their relationship even more.
His friends might be a bit wary at first. But if Naruto uses his powers for good, like saving them from danger, they would accept him more. His relationship with Sasuke could change too. Sasuke might see Naruto's new powers as a threat or as something to strive for in terms of power.
His friends would be very cautious at first. For example, Sasuke might be more on guard, seeing Naruto as a potential threat. However, true friends like Shikamaru might try to understand what's going on and find a way to help Naruto control his new powers.
His prototype powers could make others either fear or envy him. Some might see him as a threat due to his new and untested abilities. For example, villagers who were already suspicious of Naruto because of the Nine - Tailed Fox might be even more wary.
Naruto's relationship with his teachers could be different too. Kakashi, for example, would need to adjust his training methods for Naruto. He would have to help Naruto master the Byakugan while still maintaining his existing skills. And Naruto might also have new interactions with other powerful ninjas in the village or from other villages, as they are curious or intimidated by his new - found Byakugan - related abilities.
His relationship with his teachers would also be different. Iruka would be extremely proud but also a bit worried about Naruto getting too cocky with his powers. Kakashi, on the other hand, would be more focused on training Naruto to control and master these powers. Naruto's new powers could also attract the attention of other ninja villages. This would put pressure on his relationships with the people in his own village as they might see him as a potential target or a valuable asset. Some might be jealous, while others would be more eager to be his ally.
His friends in Konoha like Shikamaru and Kiba would see Naruto in a new light. They might rely on him more for protection, but also feel a bit of distance because of his elevated status. Naruto would have to work hard to maintain his old friendships and show them that he's still the same person deep down.
If Accelerator were in the Naruto universe in a fanfiction, his ability to control vectors could be extremely overpowered. He could potentially deflect all ninjutsu attacks by simply reversing their vectors. This would make him a formidable foe to even the strongest ninjas like Naruto or Sasuke. His presence would likely disrupt the power balance in the Naruto world.
His relationship with Sasuke would be greatly affected. If Naruto could control time, he might be able to show Sasuke what the future could be like if they worked together instead of being enemies. This could potentially heal their fractured relationship much faster. With space - control powers, Naruto could quickly reach Sasuke whenever he was in trouble, strengthening their bond of friendship.
It could change his relationship with his enemies too. Enemies might be more hesitant to attack him, not knowing what the mouths on his hands can do. Some might be so freaked out that they avoid him altogether. His relationships with his sensei, like Jiraiya, would be interesting. Jiraiya would likely be excited to study this new phenomenon and help Naruto figure out how to use it to his advantage. And Naruto's new 'hand - mouths' could also bring him closer to some characters who are interested in the strange and unusual in the ninja world.