He might lose a sense of his own identity. His parents are an important part of who he is, and by renouncing them, he could struggle with feelings of emptiness or confusion about his place in the world. Also, he could face isolation from friends and allies who respected his parents or had a connection to them.
In the long run, if Naruto renounces his parents, it could lead to a change in his relationships. For instance, his relationship with his mentor, like Jiraiya, who was also connected to his parents, might become strained. He may also find it difficult to gain the trust of the villagers who once saw him as the son of heroes. Without the positive association with his parents, he might have to work twice as hard to prove himself worthy, and this could take a toll on his mental and physical health as he constantly tries to overcompensate for the lack of that family connection.
Naruto could experience a great deal of internal conflict. On one hand, he made the decision to renounce them, but on the other hand, the natural bond and love that should exist between a child and their parents might still be there subconsciously. This inner turmoil could affect his performance as a ninja, making him less focused and more prone to mistakes. Additionally, he may lose out on any potential support or powers that could have been passed down from his parents, if there were any in the fanfiction lore.
He would probably become very distrustful. After all, if your own parents betray you, it's hard to trust anyone else. He might isolate himself from others in the village, thinking that if his parents could turn on him, anyone could.
On a more magical level, reviving the dead is against the natural order of things in the wizarding world. This could attract unwanted attention from magical authorities or even dark forces. Some might see Harry's act as a dangerous precedent and try to either stop him or use his new - found power for their own evil purposes.
Emotionally, Naruto would have to deal with a whole new set of family relationships. He grew up without his parents, and now having them back would be a huge adjustment. He might struggle to fit into a 'normal' family dynamic, and there could be some friction as they all get to know each other again.
On a personal level, Naruto would finally get the family he always wanted. But it might also bring some confusion and adjustment issues. His parents would be from a different time, and they'd need to adapt to the new world Naruto lives in. For example, they might be shocked by the new technology and the changes in ninja warfare.
One consequence could be that the village might view him with suspicion. Edo Tensei has been associated with dark and unethical practices, so Naruto using it might make the villagers fear that he's turning to the dark side. This could lead to a rift between him and some of his friends and allies.
His friends might feel betrayed. They would be mourning his death while he was actually alive. This could lead to a lot of anger and mistrust when they find out the truth.
He could be feared by the remaining ninja. Since he has killed all his enemies, others might see him as a ruthless killer rather than a hero. This could lead to isolation as people would be scared to approach him.
The most obvious consequence would be chaos. Naruto was the hope for the village. His death would likely lead to a great sense of despair among the villagers. Konoha might lose its strength and confidence.
One consequence could be that it makes him an outcast. Controlling the dead is often seen as a dark and forbidden art, so his friends and allies might be afraid of him or turn against him.
One potential consequence could be a loss of his sense of self. If he's raised just as a weapon, he might not develop his own values and emotions fully. He could become a tool for others' purposes without any real understanding of right and wrong. Also, his relationships would be severely affected. His friends might fear him or be used against him. And he may struggle with identity issues, constantly torn between being a weapon and a person with his own will.