With Sakura, she could be like an aunt figure. She might train them in medical ninjutsu if they show an interest. And she would always be there to patch them up when they get injured during their training or adventures.
The villagers' attitude towards Naruto could also shift. Some who were always in awe of him might now pity him. But others, like the kids he used to play with, would try to make him remember the good old days. His relationship with the tailed beasts would be really interesting. If he forgets about them, they might try to communicate with him in his mind, which could be a very strange and new experience for Naruto, and it would also be a chance to explore the bond between them in a different way.
The kids would make Naruto more responsible. He'd have to be home on time, make sure they're fed and educated. His carefree days would be over.
With Kakashi, Kakashi would probably be more protective at first. He'd be curious about how Naruto got the cat ears and would keep an eye on him to make sure it doesn't cause any harm to Naruto or the village. Naruto might feel a bit more like he has to prove himself to Kakashi that the cat ears don't make him any less of a ninja.
Well, if Naruto has no emotions in the fanfic, his relationships would become very strange. For example, his bond with Sasuke might not be as intense. Normally, their relationship is full of passion, rivalry, and a deep sense of friendship. But without emotions, Naruto might just see Sasuke as another ninja, not someone he has a strong emotional connection with. His interactions with Sakura would also be different. Instead of having his unrequited love for her, he'd be indifferent, which would change the whole dynamic of their trio.
With Kakashi, Kakashi would be extremely worried. He would probably try to find a way to get Naruto out of Akatsuki without causing too much chaos. Naruto, on the other hand, would have to keep his distance from Kakashi to maintain his cover in Akatsuki, which would be a difficult situation for both of them.
For his male friends like Shikamaru and Choji, they might initially be a bit awkward around Naruto. But as time passes, they would adapt and might start to treat him more like one of the girls in their group. Naruto's relationship with the older male ninjas like Jiraiya could also change drastically. Jiraiya might not be able to train Naruto in the same way as before and might have to come up with new training methods that are more suitable for Naruto's new form. Naruto's friendships with female characters like Ino could also transform. Ino might take Naruto under her wing and teach him things like how to do proper makeup or how to style his hair in the ninja world.
His relationship with Sasuke would likely be very different. Since Sasuke has also had experiences with the Rinnegan, they might now have a new level of understanding between them. They could train together to master the powers of the Rinnegan or compare notes on how to use its abilities.
His relationship with Sasuke would be interesting. Sasuke might be a bit confused or even annoyed at first. He's used to Naruto being his own energetic self, and now Naruto is acting like Kakashi. Sasuke might see it as Naruto trying to be something he's not. But over time, he could come to respect Naruto's new - found admiration for Kakashi and see it as Naruto growing as a ninja.
His relationship with Sasuke might become more competitive. Sasuke, seeing Naruto with this new power of wings, would feel the need to become stronger in his own way. They could have more intense battles or training sessions. With Sakura, she might be initially shocked but then would become more protective of Naruto, fearing that his new wings might attract more dangerous enemies. She could also help him with any medical issues related to the wings if they cause any strain on his body.
If Naruto gets a new bloodline, his relationship with Sasuke could become even more complex. Sasuke might be jealous of Naruto's new power, or it could be a reason for them to team up again to explore the origin of the bloodline. With Sakura, she might see Naruto in a new light, either being more attracted to his new strength or being worried about the potential risks of the bloodline.