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 this fanfiction, Naruto's character development would change significantly. With Kakashi as his adoptive father, Naruto would be exposed to different values. He would learn about teamwork in a different way. Kakashi's own experiences with his team could influence how Naruto views his comrades. Also, Naruto might be more introverted in some ways as he would spend a lot of time with Kakashi, who is not as outgoing as some other characters. His ninja skills would progress faster in some areas like stealth and intelligence - gathering because of Kakashi's expertise.
He might be more confident from the start. Since Jiraiya is known for his charisma and self - assurance, Naruto could inherit some of that. He may not be the underdog we saw in the original series as much.
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.
Naruto's view of family would be different. Instead of longing for a family like in the original story, he would have a real family with Sarutobi. This would change his motivation. Instead of wanting to be Hokage to gain recognition, he might want to be Hokage to continue Sarutobi's legacy and protect the family he now has in the village.
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.
His character would likely be more refined. With the Sarutobi clan's influence, he'd have better access to knowledge and proper guidance. He might not be as brash as in the original story. For example, he'd learn the importance of diplomacy and strategy earlier.
In this fanfiction, Naruto's character development would be a journey of proving himself against all odds. He would start off with a sense of inadequacy perhaps, seeing as many in the ninja world place great importance on bloodlines. But as he progresses, he would learn to rely on his own unique qualities. He would become more empathetic towards others who lack special powers, and his growth would be more about internal strength and mental fortitude. His relationships would also evolve differently, as he bonds with people over shared experiences of not having an easy power - up from a bloodline.
Naruto's development would be different as he would grow up with the weight of the Uchiha legacy. He may be more focused on mastering Uchiha techniques and understanding their history. This could lead to a more serious and less impulsive Naruto, at least in the beginning. As he progresses, he might learn to balance his Uzumaki and Uchiha sides, which would be a major part of his character growth.
Since Kakashi has his own set of friends and allies, Naruto would be exposed to a different social circle. This could lead to different relationships and interactions that shape his character. For example, he might have a closer relationship with Gai or Asuma in this fanfiction. Their influence, combined with Kakashi's parenting, would make Naruto more well - rounded and perhaps more in - tune with the overall shinobi community.
Naruto would likely be more confident from the start. Knowing he is the son of Hashirama, a great Hokage, would give him a sense of self - worth that he initially lacked in the original series. He might not be as much of an outcast, or at least he would have a different kind of status in the village.