If Naruto were trained by Toriko in a fanfic, it would be an interesting blend of two different worlds. Toriko's training might introduce Naruto to a whole new concept of the 'food chain' in terms of power. Naruto could learn how to incorporate the energy from different foods into his jutsu. Moreover, the cultural differences between the ninja world and Toriko's world would create some really fun and unique interactions. Naruto might be shocked at first by Toriko's appetite but then learn to respect and utilize the power that comes with it for his own growth as a ninja.
He could have adventures in search of rare ingredients. Naruto, with his ninja skills, would be great at traversing difficult terrains to find ingredients that Toriko wants. They might go to places like the Gourmet World, where Naruto would face new and strange creatures.
The implications are numerous. For starters, Naruto's fighting style would likely change. With Toriko - level strength, he might rely less on ninjutsu and more on brute force and physical abilities. This would also attract the attention of different power - hungry entities from both the Naruto universe and potentially from other universes if it's a crossover fanfic. Moreover, the power balance within the Naruto world would be completely disrupted, leading to a series of political and social changes as different groups try to either control or befriend Naruto.
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.
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.
Well, Naruto might become extremely powerful in terms of his mental manipulation skills. Aizen is known for his cunning and ability to deceive. Naruto could learn new ways to outwit his opponents. He might also gain some unique combat techniques that are more psychological in nature, rather than just relying on his physical strength and ninjutsu.