Well, it could strengthen his bond with some characters. For example, he might feel a closer connection to his clan members if he discovers his heritage. He could also gain new respect from his peers who now see him in a different light, perhaps as a more important figure within the village due to his lineage.
One possible plot development is that Naruto could start to explore the secrets of his clan. He might search for ancient techniques or artifacts related to his heritage.
He might start seeing himself as part of a greater legacy. Knowing he's an Uzumaki could make him feel more powerful and connected to his roots. He could see that his strength isn't just his own, but part of a family trait.
One possible reason could be the burden that comes with his heritage. Naruto's heritage is filled with great power and responsibility. Maybe he feels that he can't live up to the expectations of his clan or predecessors, so he rejects it.
Maybe he's been influenced by someone who has a different view of heritage. For example, if he meets a character who believes that one should create their own identity rather than relying on heritage, Naruto could be swayed. Another possibility is that he has some sort of resentment towards his heritage. Perhaps there are things in his family's past or in the traditions associated with his heritage that he doesn't agree with or is ashamed of.
In the fanfiction, when Naruto learns of his heritage, he often becomes more confident. Knowing where he comes from gives him a sense of purpose. He might start to train harder, believing that he has a greater destiny due to his lineage.
One possible plot twist could be that his heritage is linked to an enemy he thought was unrelated. So he has to reevaluate his views on the whole conflict.
Well, in this kind of fanfiction, Harry might start to discover all sorts of things about his family heritage that were previously hidden from him. Maybe he'd learn more about his parents' magical abilities in a new light, or find out about some long - lost relatives who had some unique magic powers.
Well, it could strengthen his bonds. His friends might see him in a new light, with more understanding and respect. For example, they could realize the weight of his past and be more empathetic towards his struggles.