His story would change a great deal. For one, his family background would be completely different. Instead of being an orphan in Konoha, he'd be related to the Sand Village. This would change his initial motivation and goals. He might not be as focused on getting recognition in Konoha but rather on uniting the Sand and Konoha in a more harmonious way.
If Naruto were the son of the Third Kazekage in a fanfic, his entire world view would shift. He'd grow up with different cultural influences. His understanding of the shinobi world would be more inclusive of the Sand Village's perspective. His role in the Fourth Shinobi World War would be different. He might lead the Sand Village's forces in a more prominent way. His story would no longer be just about becoming Hokage in Konoha but about forging a new path that combines the best of both villages.
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.
Well, it could be really interesting. Maybe in this fanfic, Naruto would have a whole different set of skills and abilities. Since the Third Kazekage was known for his iron sand techniques, Naruto might inherit some form of that. He could also have a different upbringing, perhaps more related to the Sand Village's culture and values. This would surely change his relationships with the characters from Konoha. For example, his bond with Sasuke might be different as he'd have a more desert - influenced personality.
His relationship with Sasuke would be deeply affected. Without being able to verbally challenge Sasuke or express his feelings directly, Naruto would have to rely on his actions even more. Sasuke might initially misinterpret Naruto's silence as weakness or indifference.
Naruto would likely be more cunning. Since Orochimaru is known for his devious ways, Naruto might inherit some of that. He could be more calculating in battles rather than just relying on brute force. However, he would still have his core of kindness. So, it would be an interesting mix of Orochimaru's slyness and Naruto's big - heartedness.
The plot would likely involve a lot more exploration of different realms. Since Irene is from a different fictional context, there would be crossovers. Naruto might have to travel to different magical lands to discover his heritage and learn about his mother's past. His friends in Konoha might be skeptical or in awe of his new powers. Sakura, for instance, might be both jealous and curious about his newfound abilities. And Naruto would have to prove himself all over again, not just as a ninja but as someone with a powerful magical lineage.
His story would change drastically. He'd have different powers. For instance, if he was related to Poseidon, he could control water in ways he couldn't before. This would give him an edge in battles and change how he approaches combat in the ninja world.
Naruto would likely be more conflicted. His usually bright and positive personality might be tempered by the knowledge of his dark heritage. He might become more cautious in using his power, knowing the destruction Thanos was capable of. He could also be more isolated as other characters might fear his potential for evil.
Naruto's sense of humor would definitely change. He would likely have a much darker and more sarcastic sense of humor, like Deadpool. His confidence might also skyrocket in a different way. Instead of just believing in himself as a ninja, he'd believe in his ability to break all the rules like Deadpool does. He might also be more open to using unethical means to achieve his goals, which would be a big shift from his normal self.
He might become more cynical. Growing up with Cersei as his mother, he would be exposed to a lot of political backstabbing and power - mongering. But his original Naruto - like optimism might still peek through at times. For example, he could initially be distrustful of people but then find a few he truly believes in and regain some of his more positive outlooks.
Naruto would probably be more cerebral. Since Robin is known for her intelligence and love for knowledge, Naruto might spend more time studying and analyzing situations rather than just jumping into action. He could be more strategic in his battles, thinking several steps ahead like Robin often does.