Well, it depends on the specific fanfiction. There are countless fanfictions out there, and while some may choose to make Naruto part Hyuga for various reasons like adding a new twist to his character development or exploring a different kind of relationship with the Hyuga clan, others may not go in that direction at all. It's really up to the creativity and ideas of the individual fanfiction authors.
One implication could be new power - he might have the Byakugan. This would give him a whole new way to perceive the world and fight battles, perhaps making him even more formidable. For example, he could use the Byakugan's long - range vision in combination with his own combat skills.
One common theme is family and clan loyalty. Since the Hyuga clan has a strong sense of family structure and loyalty in the Naruto universe, many OCs in these fanfictions deal with issues related to that. For example, they might struggle between following the traditional clan ways or forging their own path.
The theme of family also appears often. As they start their own family, fanfics may focus on how they raise their children, pass on their values, and how their family interacts with the rest of the Hidden Leaf Village. There are fanfics that show Naruto and Hinata teaching their kids about the importance of hard work, friendship, and loyalty, just as they learned in their own lives.
Another way is by bringing new opportunities for the Hyuga clan. Naruto, being a well - respected figure in the village, can recommend the Hyuga for important missions or projects. This would give the clan more exposure and a chance to prove their worth in different areas, which in turn would boost their confidence and status within the village.
One great 'Naruto and Hinata Hyuga' fanfic is 'The Bond of Two Hearts'. It beautifully explores their relationship post - Naruto's journey as Hokage. It shows how Hinata supports Naruto in his new role and how they grow together as a couple.
Maybe Naruto would help to bridge the gap between the main and branch families of the Hyuga clan. He has always been about unity and friendship. He could use his influence to try and create more equality within the clan. This might involve standing up against the old traditions that have been causing some division, like the cursed seal on the branch family members.
Often, Naruto is shown using his ability to empathize. He has been through a lot himself, so he can understand the Hyuga clan's issues. One common way is that he tries to break down the barriers between the main and branch families. He might talk to the clan leaders and convince them to give more rights to the branch family, like allowing them to learn certain jutsu that were previously restricted.
One interesting fanfiction could be about Hinata and Naruto going on a secret mission together. They might face unexpected challenges that test their relationship and skills. For example, they could be trapped in a mysterious cave and have to rely on each other to find a way out.
In such a fanfiction, Naruto might grow up with a very different set of skills. The Hyuga are known for their Byakugan. Naruto could be trained in the use of the Byakugan from a young age, perhaps making him more of a stealthy and perceptive ninja. He may also adopt the more traditional and reserved ways of the Hyuga clan in his behavior.