Well, in this fanfic, Obito might raise Naruto to be more cynical about the Hidden Leaf Village. Since Obito has his own grudges against the village, he could influence Naruto's perception of it. However, Naruto's own kind heart might still shine through and he could end up trying to change Obito's views while still learning from him. For example, Naruto could use the power and skills he learns from Obito to protect the village in a new way, bridging the gap between Obito's distrust and the village's need for protection.
Naruto's character would likely be more edgy. With Obito's influence, he might be quicker to question the village's motives. He'd also be more powerful in different ways, like having a better understanding of space - time ninjutsu early on.
One possible plot could be that Obito, having his own complex views on the ninja world, raises Naruto with a different set of values. He might train Naruto in more unorthodox ways, focusing on Naruto's raw power rather than the traditional ninja teachings. Naruto could grow up with a deeper understanding of the Uchiha's pain and Obito's motives, which could lead to a different path in his quest to become Hokage. For example, he might be more willing to question the village's decisions and seek real peace instead of just the village's prosperity.
The plot could be really interesting. Since Obito has been through so much, he might train Naruto in a more unorthodox way. Rin, on the other hand, would provide a more nurturing and moral compass for Naruto. They could also influence Naruto's relationships. He might not have the same bond with Sasuke or Sakura as in the original. Instead, he could form new alliances based on what he learned from Obito and Rin.
If Naruto was raised by Obito, he would likely be more exposed to the Uchiha side of things. Obito could train Naruto to be a more stealthy and strategic fighter. Naruto might not have the same bond with Iruka or the other villagers as in the original. His goals might be more aligned with Obito's views on the ninja world, which could be either for better or for worse. It would definitely make for a very interesting and different Naruto than the one we know.
Naruto's character would likely be more complex. He'd be less naive perhaps. Growing up with Obito and Rin, he'd have a different understanding of the ninja world. He might be more secretive too, as Obito has his own secrets.
A major theme is the power of forgiveness. Naruto is all about forgiving others, and when it comes to Obito, this theme is often explored. How can Naruto forgive Obito for all the harm he has caused? Also, the theme of changing one's fate. Obito's fate seems set in the original story, but in fanfics, he often tries to change it with Naruto's influence. There are also themes related to the understanding of different ideologies as Naruto and Obito have very different outlooks at times.
If Naruto was raised by Obito, his relationships would take a radical turn. With the villagers, he would be seen as an outsider or even a threat, just like Obito was in a way. His relationship with Sakura would be different too. Without the common experiences in the village, he might not have the same friendly - rival kind of relationship with her. And his relationship with the Akatsuki members could be very different. He might be more inclined to understand their motives or even join them at some point, given Obito's connection to the group. It would create a whole new web of relationships that are far removed from what we saw in the original Naruto story.
Naruto might be more brooding and less of the cheerful optimist. Obito's own experiences of loss and his somewhat dark view of the world could rub off on Naruto. He'd be more cautious and less likely to trust people immediately.
One popular Naruto x Obito yaoi fanfic is 'A Bond Beyond the Surface'. It delves deep into their complex relationship, exploring how they might come to understand and care for each other in a different way. The story is well - written, with great character development and some really touching moments.