With All Might, Izuku's relationship could shift. All Might would have to guide Izuku in a different way since Tatsumaki powers are not like One For All. He would need to learn new ways to train Izuku and also make sure Izuku doesn't lose his original heroic spirit while using these new powers.
His relationship with Bakugo would be very different. Instead of Bakugo looking down on Izuku for being quirkless, he might be jealous of Izuku's powerful fire quirk. This could lead to even more intense rivalries between them. With All Might, All Might might be more cautious in training Izuku as a fire quirk could be more dangerous to handle without proper control.
With Kakashi, Naruto's fire powers would likely lead to new training regimes. Kakashi would have to adjust his teaching methods to help Naruto control and enhance his fire - based jutsu, which could strengthen their bond as teacher and student.
With his friends like Sakura and Kakashi, Naruto would become an even more reliable protector. Sakura would be in awe of his new powers at first, but then she would start to worry about Naruto getting too cocky or reckless with them. Kakashi, on the other hand, would be more cautious and would try to guide Naruto in using these powers responsibly, much like he did with Naruto's ninja training.
With the teachers, they would have to treat Izuku differently. They might give him more individual attention and training. For example, Aizawa could be more hands - on in helping Izuku control his quirk better. As for villains, they might see Izuku as an easier target at first, but then realize he's a force to be reckoned with on his own.
Percy's relationship with the gods would definitely change. They would see him as a threat, especially if he stole a power that was close to their domain. Zeus, for instance, would be furious and might send all kinds of challenges and threats Percy's way, which would put Percy in a very difficult position.
With his friends in the Hidden Leaf Village, some might be scared of him at first. But as Naruto shows that he can control his death powers for good, they would gradually accept him again. For example, Sakura might initially be hesitant around Naruto, but when she sees him using the powers to protect the village, she would start to trust him more.
Her relationship with Harry might become more of a protector - protected dynamic. Harry would be in awe of her new powers and might rely on her more in dangerous situations. With Ron, there could be some jealousy at first as he might feel left out. But eventually, he'd see the value of her powers and they'd become closer in a different way. And with the professors, they would either be intrigued and want to study her powers or be a bit cautious in case the powers got out of control.
His relationship with his teachers would also be different. Iruka would be extremely proud but also a bit worried about Naruto getting too cocky with his powers. Kakashi, on the other hand, would be more focused on training Naruto to control and master these powers. Naruto's new powers could also attract the attention of other ninja villages. This would put pressure on his relationships with the people in his own village as they might see him as a potential target or a valuable asset. Some might be jealous, while others would be more eager to be his ally.
His friends in Konoha like Shikamaru and Kiba would see Naruto in a new light. They might rely on him more for protection, but also feel a bit of distance because of his elevated status. Naruto would have to work hard to maintain his old friendships and show them that he's still the same person deep down.
With Kakashi, Naruto's relationship would also shift. Kakashi has had experience with the Sharingan and knows about powerful dojutsu. He would be both amazed and a bit worried about Naruto having the Rinnegan. He might try to mentor Naruto more intensively to make sure he uses it for good and doesn't let the power corrupt him. Naruto would look up to Kakashi even more as he tries to learn about his new power from Kakashi's knowledge.