It could lead to Naruto becoming even stronger and more skilled than in the original story. Jiraiya's training methods might unlock new powers for him.
Well, Naruto with the Rinnegan trained by Jiraiya would be extremely powerful. Jiraiya could teach Naruto unique ways to use the Rinnegan's abilities. Maybe Naruto would combine Sage Mode with the Rinnegan powers, creating new and unbeatable jutsu. He could also use the Rinnegan's ability to see chakra flow to better understand his opponents and counter their attacks more effectively.
One possible plot could be Naruto making great leaps in his ninja skills. He might learn powerful jutsu more quickly under Jiraiya's intense training regime. For example, he could master new forms of Rasengan faster and also gain better control over his chakra.
Well, if Jiraiya had trained Naruto from the start, Naruto might have developed a more strategic mindset and better control over his chakra. Also, he could have learned some secret techniques that Jiraiya knew but never got the chance to teach him.
Naruto would likely become more disciplined. Jiraiya's strict training would force Naruto to focus and follow a routine, which is different from his usual impulsive self.
One possible plot twist could be that Yugau Uzuki has a secret jutsu that she passes on to Naruto which changes the way he approaches battles. For example, it could be a space - time related jutsu that allows him to surprise his opponents. Another twist might be that Jiraiya discovers a hidden power within Naruto that is related to an ancient prophecy that neither of them were aware of before. This could lead Naruto on a new quest to understand and master this power.
It could be Orochimaru. Since Orochimaru has a long - standing feud with Jiraiya and is always up to no good. If Naruto ditches Jiraiya, Orochimaru might see this as an opportunity to manipulate Naruto. He could try to convince Naruto that Jiraiya was holding him back and that he can offer Naruto more power, all while having his own evil plans for Naruto.
I'm not familiar with the specific 'the hero jiraiya novel' so I can't say for sure who the author is. It could be an independent author or part of a series written by a well - known writer in the genre of fantasy or adventure, but without further research, there's no way to know.