Naruto could become more of an outcast. Since Loki is often seen as a villain in Norse mythology, his friends in the Naruto world might be hesitant to trust him. This could make him more withdrawn and cynical, a big change from his normally upbeat and optimistic self.
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.
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.
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 He has to learn to control these new powers, which might make him seem more withdrawn as he trains in isolation to avoid hurting others accidentally.
He'd be more mischievous. Since Loki is known for his trickery, Naruto would likely have a stronger inclination towards pranks and out - witting his opponents in a more devious way. His normal exuberance would be tinged with a bit more slyness.
He might become more brooding and serious. The connection to Hades could bring out a darker side to his personality.
Naruto would likely be more refined in his manners. Since he's the son of a queen, he'd probably grow up with a certain level of etiquette. But he'd still keep his core values of never giving up and protecting his friends.
He might become more confident, bordering on over - confident like Gilgamesh. Naruto is already confident, but with Gilgamesh as his father, he could have an even greater sense of self - importance.
Naruto would likely be more cunning. Since Orochimaru is known for his devious ways, Naruto might inherit some of that. He could be more calculating in battles rather than just relying on brute force. However, he would still have his core of kindness. So, it would be an interesting mix of Orochimaru's slyness and Naruto's big - heartedness.
With his friends in Konoha, Naruto could be seen as both an asset and a potential danger. His friends might be in awe of his new abilities but also worried about how his connection to Cooler could draw unwanted attention to the village. His relationship with Kakashi could also change as Kakashi tries to help Naruto understand and control his new powers.