Another plot point could be the relationships he builds during his training. He could meet some new friends or mentors who help him in different ways. Like an old ninja who teaches him some secret techniques passed down in their family. This would add depth to his character development and also make the story more engaging.
On the other hand, Naruto's training could bring him closer to some of his friends. If he has to train with someone like Shikamaru, they could develop a better understanding of each other. They might share strategies and learn from one another, strengthening their bond in the process.
Kosuke might be a character created specifically for this fanfic. He could be someone with a unique background, like perhaps he was once a disciple of a great ninja but then went on his own path. And now he sees potential in Naruto and decides to train him. He could have abilities that are different from the main characters in the original Naruto series, which is why he has something new to offer to Naruto in terms of training.
In this fanfic, Lilith could be an original character created by the author. She might be a powerful and mysterious figure with special abilities that make her suitable to train Naruto.
She could be someone with a special bloodline or ability. Maybe she has a unique form of chakra that gives her certain powers. In the context of training Naruto, her skills and knowledge are what make her important. She could be a mysterious figure who has been observing Naruto for a while and decides to take him under her wing to help him reach his full potential. For instance, she might have the ability to see the latent potential in others and wants to shape Naruto into a great ninja not just for his own sake, but also for the greater good of the ninja world.
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.
One possible fanfic could be about Naruto and Temari teaming up during the Chunin Exam in unexpected ways. Maybe Naruto helps Temari when she's in a tough situation against an opponent she underestimated. They could form an alliance that surprises everyone.
One possible scenario in such a fanfic could be Naruto easily overpowering his opponents during the Chunin Exam. For example, in the written test, he might use some new, godlike power to read the minds of the examiners or sense the correct answers. During the combat rounds, he could defeat his foes with a single move, leaving everyone in awe. His newfound power might be related to some ancient ninja art he discovered or a special training he underwent secretly.
It could be really exciting. Guts' brutal and unyielding training methods might make Naruto even stronger. Naruto could learn to face his enemies with more tenacity from Guts. For example, Guts' way of fighting in close combat could be incorporated into Naruto's combat style, adding a new dimension to his abilities.