His relationships would be drastically different. For example, his relationship with Sasuke would be strange. Sasuke might be both intrigued and scared of Naruto's new powers. And Naruto might not have the same bond with his original friends from the Leaf Village as he's now more in the vampire world.
Well, Naruto's family relationships would be completely reimagined. Since he's raised by Dracula, he has no real connection to his biological parents in this story. He might consider Dracula as his father figure. His relationships with other vampires would be like a family too, but when he encounters the ninja world again, he has to figure out where he stands. He might have a hard time fitting in with his old friends because he's been so changed by his upbringing with Dracula.
Naruto's relationship with his sensei, like Kakashi, would be almost non - existent in this fanfiction. Instead, he'd have a mentor - like relationship with Dracula. His relationships with female characters might also change. They could be either attracted to his new, mysterious aura or be repelled by his vampire - like nature.
His relationship with Sasuke could be different. Maybe Sasuke would be in awe of Naruto's new powers at first. They might have less of a rivalry and more of a partnership from the start, with Sasuke seeing Naruto as a step ahead in power and knowledge.
His relationships would be quite different. With Sasuke, he might be more of a mentor - like figure early on, as he'd have more knowledge and power from the Sannin's teachings. His relationship with Sakura could be more of an equal partnership in combat, since he'd have more medical knowledge from Tsunade. And with Kakashi, he'd probably still respect him, but he'd also have his own unique insights from the Sannin that could make their interactions more like exchanges between equals.
His relationships would be very different. He wouldn't have the same connection with Jiraiya, for example. Instead, he might be mentored by an Iwagakure ninja. His relationship with the other villages would be more strained, as Iwagakure has a different history of relations with them. And his relationships with his peers in Iwagakure would be based on the Iwagakure way of life.
If Naruto was raised by Orochimaru in fanfiction, his relationships would be turned upside down. His friendships from the Leaf Village would be in jeopardy. Since Orochimaru is not one to value the kind of loyalty and friendship that Naruto's friends in the Leaf do, Naruto would have a hard time understanding and maintaining those relationships. He might even be hostile towards them, seeing them as obstacles in his pursuit of power. His relationship with the Hokage would also be a mess. Instead of looking up to the Hokage as a role model, he would probably view the position as something to be conquered or undermined, following Orochimaru's ideology of power - seeking.
If Naruto was raised by Obito, his relationships would take a radical turn. With the villagers, he would be seen as an outsider or even a threat, just like Obito was in a way. His relationship with Sakura would be different too. Without the common experiences in the village, he might not have the same friendly - rival kind of relationship with her. And his relationship with the Akatsuki members could be very different. He might be more inclined to understand their motives or even join them at some point, given Obito's connection to the group. It would create a whole new web of relationships that are far removed from what we saw in the original Naruto story.
Naruto's relationships would see a significant shift. In the context of his family - like relationships, he'd have a whole clan to call his own. The Inuzuka would be his family, and he'd have the support and guidance of the clan elders. His relationship with Hinata might not develop in the same way as in the original story. Given his Inuzuka upbringing, he might be more attracted to someone who is more in line with Inuzuka values, like being strong - willed and having a connection to animals. His relationships with his enemies would also be different. His Inuzuka - trained combat skills and the reputation of his clan would make his enemies approach him with a different level of caution and respect.
Naruto's relationships would experience a significant shift. With Sarutobi as his guardian, he would have a closer relationship with the Anbu. He would be more involved in the inner workings of the village at an earlier stage. His relationship with Kakashi would also be different. Instead of Kakashi being his main mentor, Sarutobi would play that role. This would mean that Naruto would approach his training and missions with a different mindset, which in turn would affect how he relates to his comrades and opponents.
His relationship with Sasuke might be different. With Kurama's influence, Naruto could be more confident in reaching out to Sasuke. He might be able to understand Sasuke's pain better and be more effective in bringing him back to the village.
Naruto's relationship with Sasuke might be different. Instead of the rivalry based on power and recognition, Sasuke could be more jealous of Naruto's unique bond with the female Kyuubi. Naruto's friends like Sakura might also view him with a bit of awe and fear initially, since he is being raised by such a powerful and feared being. The village elders would likely be more distrustful of Naruto, thinking that the female Kyuubi is influencing him in a negative way.
His relationship with Shikamaru would be very different. Instead of being just friends, they could be like brothers. Shikamaru might take on a more mentoring role, teaching Naruto the ways of the Nara clan. This would strengthen their bond even more.