In this fanfiction, Naruto's character would likely experience a significant transformation. His once bright and carefree attitude might be tempered by the knowledge of his dark heritage. He could become more guarded, especially when it comes to his new powers. At the same time, he would still retain his core values of friendship and protecting the village. However, he may have to face moral dilemmas more often, as his powers from Hades could be used in ways that go against the traditional ninja ethics. For instance, using the power to control the dead might be seen as taboo in the ninja world, but he might have to use it to save his friends or the village, which would cause internal conflict within him.
Naruto could become more powerful and confident, but also more isolated. His new powers as the son of Hades might make others fear or envy him, so he has to deal with that while still being the hero we know. He may also develop a more strategic mind as he has to control and use his godlike abilities in combat.
He might become more brooding and serious. The connection to Hades could bring out a darker side to his personality.
Well, in this fanfiction, perhaps Naruto's heritage as the son of Hades makes him an outcast at first. But as he grows, he discovers his powers and uses them to protect the Hidden Leaf. He might have to face enemies who are both from the Naruto universe and those related to the underworld, and his godlike powers could give him an edge in battles, like being able to teleport through shadows or sense the presence of danger from the other realm.
He would likely become more brooding. With the dark and godlike Rinnegan, Naruto might start to question his previous beliefs. He could be more isolated as he tries to figure out his new power, which is different from the chakra he's used to. His usual sunny and optimistic personality might be overshadowed by a more serious and cautious side.
In fanfiction, the 'godlike naruto kyuubi bloodline' often makes Naruto more confident. Since he has such powerful abilities, he doesn't have to doubt himself as much. For example, he might be more assertive in battles and in his interactions with others.
He might become more carefree. Dionysus is often associated with merriment, so Naruto could be less burdened by his usual troubles. For example, he might joke around more during serious missions.
He would likely become more in tune with nature. Since Artemis is associated with nature and the hunt, Naruto might have a deeper respect for the natural world. He could be more stealthy, like a hunter, and his combat style might incorporate more fluid and quick movements similar to how one would move while hunting. Also, his values might shift a bit, with a stronger emphasis on protecting the natural balance.
He might become more devious. Instead of his straightforward, head - on approach, he could start using more underhanded tactics, like Loki. For example, he may set up elaborate traps for his enemies rather than just fighting them directly.
Naruto could become more empathetic. Since Hestia is often associated with warmth and care, he may inherit some of those traits. So, instead of just being the loud and brash Naruto we know, he might be more in tune with the feelings of others, especially those who are suffering or in need. This could change the way he forms relationships in the Naruto world, and he might be more likely to offer a helping hand even to his enemies under certain circumstances.
Naruto could also become more powerful but in a different way. His chakra might be tainted with a touch of the demonic, giving him new abilities that are both a blessing and a curse. He has to learn to control these new powers, which might make him seem more withdrawn as he trains in isolation to avoid hurting others accidentally.
It changes the story a great deal. For starters, Naruto can now overcome challenges much more easily. Instead of having to struggle in battles, he might be able to defeat powerful foes with a single move. This would lead to a different kind of plot, perhaps more focused on his internal journey and how he deals with this overwhelming power.
The 'godlike hanyou' idea often makes Naruto more of an outcast in some fanfictions. People might be afraid of his new powers or misunderstand them. This can lead to Naruto feeling lonely at times, but it also makes him more determined to prove himself and show that his powers can be used for good. He has to learn to control his hanyou side and show others that he's still the same Naruto at heart, just with added abilities.