If Naruto were adopted by Mei Terumi, his entire world view would shift. He would no longer be a Konoha ninja but a Mist Village one. His loyalty would be towards the Mist first. Mei Terumi could introduce him to different ways of thinking about the ninja world. For example, she might have a more ruthless approach to protecting her village compared to the more idealistic views in Konoha. Naruto would have to adapt to this new mindset. His training would be more focused on the needs of the Mist Village, such as defending against sea - based threats or dealing with internal rebellions. His life would be full of new opportunities and threats as he tries to fit into this new role within the Mist Village.
Naruto's relationships would change drastically. He would form new bonds with the people of Kirigakure. His relationship with Mei Terumi would be a major factor in his development. She could help him control his emotions better, especially his impulsiveness. And as he grows up in Kirigakure, he would develop a sense of loyalty to the village that would be different from his loyalty to Konoha. This new loyalty could make him more protective of Kirigakure and its people, and he would strive to be a great shinobi not just for himself or Konoha but for his new home as well.
His life would change drastically. He would go from living in the Hidden Leaf Village to a world with super - powered beings. He'd have to adapt to a new family structure with Superman as his adoptive father. He might get access to advanced technology and knowledge that doesn't exist in his own world.
His living situation would be different. He'd live in the Hyuga compound, which is a very traditional and family - centered place. He'd probably have a proper family structure for the first time. And he'd be surrounded by people who are highly skilled in combat and chakra control.
If Naruto was adopted by Rias in fanfiction, his life would take a completely new direction. He would be in a world full of magic and supernatural beings. His daily routine would change from ninja training to learning about devil magic and the ways of Rias's peerage. His relationships would shift too. He might form strong bonds with the members of Rias's group, sharing his own stories of growing up as an outcast in the ninja world. His combat style would also evolve as he incorporated elements of devil magic into his ninja techniques. And his presence could potentially change the power dynamics within Rias's peerage, bringing new strategies and ideas to their battles and operations.
If Naruto is adopted by the Kazekage in fanfiction, his training would be different. The Kazekage would likely teach him unique Suna - style jutsu. His growth as a shinobi would be shaped by Suna's traditions. Also, his identity would be more tied to Suna. He'd be seen as a part of Suna's future, and this would affect how he views himself and his place in the ninja world.
Naruto's life would be completely different. Tsume is a strict and proud character. Under her care, Naruto would likely be pushed to his limits in training. He would also have a different living situation. Instead of living alone in his small apartment, he'd be in the Inuzuka compound. He might be given a ninja dog of his own early on, which would change his combat style and how he approaches missions.
His living situation would be much different. Instead of living alone, he would be part of a large clan. He'd have a proper family structure with elders, siblings perhaps, and aunts and uncles. This would give him a sense of belonging that he lacked before.
His social standing in the village could be different. Since Itachi was a respected and feared figure, Naruto being associated with him could bring both admiration and suspicion. Some might see Naruto as a potential threat because of his connection to Itachi. However, others who knew Itachi's true nature might support Naruto more. Naruto would also have to deal with the legacy of Itachi, which could be both a burden and an inspiration.
One possibility could be that Naruto gains a different kind of training. Mei Terumi is a strong Kage, and she might teach Naruto unique water - based jutsu. Naruto could also be exposed to a more political side of the ninja world through her influence, as she has to deal with diplomatic matters in the Mist Village. This could change Naruto's view on how to bring peace to the ninja world, not just through strength but also through politics.
Well, one possibility is that Naruto would be exposed to a different kind of ninja culture in Kirigakure. Mei Terumi could teach him unique water - based jutsus. Maybe Naruto would also face challenges from the local shinobi who might be jealous or suspicious of an outsider being adopted by their Mizukage.