If adopted by Jiraiya, Naruto would probably be more self - assured. Jiraiya would instill in him a sense of pride in his abilities. He'd also be more of a free spirit. Jiraiya's influence would mean Naruto would be more likely to take risks and explore new things without as much hesitation as in the original story. He might also be a bit more flirty, as Jiraiya has his own charm when it comes to the opposite sex.
His relationship with Sasuke would be different. Since Naruto would have a more stable upbringing, he might approach Sasuke with more understanding and less of the desperate need to bring him back. His friends in Konoha would also see him in a new light, as he is now under the care of two very respected shinobi. And his relationship with the village elders might be less strained, as Tsunade could act as a buffer.
Naruto's relationships would be different. He would have a father - figure in Jiraiya. Jiraiya could also introduce Naruto to new friends and allies. And Naruto would have more time to learn about his family and the secrets that Jiraiya might know about the Uzumaki clan. This could give Naruto a stronger sense of identity and purpose.
Naruto might become more reserved. Growing up under Zeltrech, he could be exposed to a more sophisticated and perhaps less rowdy environment compared to Konoha. So instead of his usual loud and brash self, he could develop a more calm and calculated side.
The training makes Naruto more confident in his abilities. Jiraiya constantly challenges Naruto and as Naruto overcomes these challenges, he realizes his own strength. He starts to believe in himself more, which is evident in the way he faces stronger opponents without hesitation later on. Also, Jiraiya's teachings about the ninja way and the importance of protecting those you love make Naruto more determined and focused on his goals.
Well, one possibility is that Naruto would grow up with more focused and intense training. Jiraiya could pass on his unique jutsu more directly. Maybe Naruto would learn about the world outside of Konoha in a more in - depth way earlier on, traveling with Jiraiya and having adventures that shape his understanding of the ninja world and his place in it.
Well, one possibility is that Naruto would become an even stronger ninja faster. Jiraiya could train him more intensively from a younger age. He'd also be exposed to more of Jiraiya's wild and carefree ways, which might make him more confident and a bit of a prankster like Jiraiya. And Naruto would probably have less of the loneliness he felt in the original story, since Jiraiya would be a more present father figure.
His personality could also develop in new ways. Since the RWBY world has different social structures and challenges, Naruto could become more diplomatic. He'd have to interact with different races and factions, like the Faunus. So, he might learn to be more understanding and empathetic towards those with different backgrounds, which could add new layers to his already complex personality.
Jiraiya's training in the fanfiction might focus on Naruto's inner strength as well. He could help Naruto better understand and control the Nine - Tails' power. This new - found control would give Naruto a sense of calm and authority. His character would shift from being just a loud - mouthed underdog to a more respected and powerful ninja. Naruto would also learn about loyalty and sacrifice from Jiraiya, which would shape his values.
Naruto would likely be more self - assured. Jiraiya's influence would make him more aware of his potential earlier. He might not have the same insecurities about being alone as in the original, since he has Jiraiya as a father figure.
In such a fanfiction, Naruto might receive more focused training earlier. Jiraiya could pass on his unique ninjutsu skills more intensively, and Tsunade might teach Naruto about medical ninjutsu. Also, Naruto would likely grow up in a more stable family - like environment, with the support and love from both Jiraiya and Tsunade. This could lead to him being more confident and less of an outcast in the village.