It would likely accelerate his growth. Jiraiya is a very experienced ninja. With his guidance, Naruto would gain more confidence. For example, if Jiraiya found Naruto early on, he could teach Naruto better control of his chakra, which was a struggle for Naruto in the beginning. This would make Naruto more efficient in battles and less reliant on brute force.
If Jiraiya found Naruto, Naruto's view of the ninja world would expand much faster. Jiraiya has traveled a lot. He could introduce Naruto to different cultures and ninja techniques from various regions. This exposure would make Naruto more open - minded and innovative in his approach to combat and problem - solving. He would also probably become more mature as Jiraiya could impart some of his wisdom about life and the responsibilities of a ninja.
This discovery by Jiraiya could have a profound impact on Naruto's emotional development. Naruto has always craved recognition and family. Jiraiya could fill that role to some extent. He could teach Naruto about self - love and acceptance. As a result, Naruto might not be as brash or impulsive as he was in the original story. Instead, he would be more calculating and strategic, which would change the way he approaches challenges in the ninja world.
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.
Naruto might become more conflicted. Since Madara had some extreme views, Naruto would have to grapple with those ideas. He could become more secretive as he tries to understand Madara's motives better without alarming his friends. For instance, he might start training alone more often to study Madara - inspired techniques.
If Zabuza found Naruto, it could make Naruto more independent. Zabuza is a loner, and Naruto might pick up on some of his self - reliance. Naruto may also become more in tune with his darker emotions. Zabuza has a lot of anger and pain inside him, and being around him could force Naruto to confront his own inner demons. This would add depth to Naruto's character, as he would have to learn to control and use these emotions in a positive way, rather than just relying on his positive - thinking - only attitude all the time.
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.
Naruto being raised by Sasori would be a huge shift. Sasori is not one to show much emotion or promote the ideals of hope and perseverance like the people in Konoha. Naruto would likely have a different sense of loyalty, perhaps more towards Sasori's goals or ideals which are mainly centered around his own power and the art of puppetry. His growth as a ninja would be more focused on silent and deadly skills rather than being a hero that everyone looks up to. His relationships would be more transactional in nature as he wouldn't have been exposed to the deep emotional bonds that are so prevalent in Konoha.
If Naruto was raised by Vegeta, his character would likely become much more aggressive and focused on power. Vegeta's Saiyan pride and his constant drive to be the strongest would rub off on Naruto. He might not be as friendly or as empathetic as in the original series, but would instead be more solitary in his pursuit of strength, seeing it as the ultimate goal.
Naruto would likely become more disciplined. Kakashi is known for his strictness, so Naruto would have to follow a more structured training regime. This would make him more focused during battles and in his studies of ninjutsu.
Naruto would become more well - rounded. With Hiruzen's training, he'd gain more discipline. In the original, Naruto was a bit of a wild card. But under Hiruzen, he'd learn to control his impulses better. For example, in battles, he'd think more strategically instead of just charging in.
Naruto would likely become more confident. Knowing he has a clan that accepts him would boost his self - esteem. He might not be as much of an outcast as in the original story, and this could lead to a less boisterous personality, as he doesn't have to constantly seek attention to be noticed.
Naruto might develop different skills. Without Jiraiya's training, he could focus more on self - taught techniques or learn from other characters. For example, he might learn more about the Uzumaki clan's unique abilities from someone else in the village.