Another reason could be related to the state of the village at that time. There might be internal power struggles or external threats that make the parents feel that Naruto's birthright is a liability rather than an asset. They may believe that by giving it away, they can restore some sort of balance or peace within the village, and that Naruto can still grow to be a great ninja without it.
Perhaps it has to do with a prophecy or some kind of ancient ninja tradition. The parents might believe that Naruto is destined for something greater that doesn't require his birthright. They could think that by giving it away, they are setting him on a path that will lead to a more important destiny, like uniting the ninja clans in a way that doesn't rely on the power associated with his birthright.
One possible reason could be for Naruto's protection. His parents might think that by giving away his birthright, they can keep him away from dangerous enemies or political intrigue in the ninja world. Maybe they foresee a great threat that would target Naruto specifically because of his birthright, and this is their extreme measure to ensure his survival.
Another possibility is that they were deceived. There could be a villain who tricked them into believing that giving away Naruto's birthright was the right thing to do. They might have been misinformed about the consequences and the true nature of what they were giving up.
One possible reason could be that he discovers a dark secret about his family. Maybe he finds out that his parents were involved in something he can't accept, like a deal with a dangerous enemy. So, to avoid being associated with it, he runs away.
It could also be due to a prophecy. Suppose there's a prophecy that Naruto will bring great disaster in the future. His parents, believing in the prophecy, might decide to disown him in an attempt to avoid that future. They might think that by cutting ties with him, they can somehow change the course of events.
He might be initially very confused and hurt. Naruto has always longed for a connection to his parents, and finding out they gave away his birthright could make him feel like he was unwanted or that they didn't trust him with it. He could go through a period of self - doubt, wondering if he is really worthy of being their son.
In such a fanfiction, perhaps Naruto could be wrongly accused of something that leads to him being stripped of his birthright. Maybe a false claim about his connection to the Nine - Tails is used against him.
Maybe he discovers some dark secrets about his family. For example, if his parents were involved in something he considered unethical in the fanfic's plot. It could be that they were part of a group with a hidden and evil agenda.
This change in the fanfic would likely have a huge impact on Naruto's character. Without his birthright, he may be more distrustful of the system that allowed such a thing to happen. His usual optimism might be tinged with cynicism. For example, he might be less likely to believe in the Hokage system if it was involved in taking away his birthright. He'd have to re - evaluate his goals and dreams, and this would be a major part of his new character development.
In this fanfiction, it could be that Naruto's parents were under some sort of mind - control. Some evil entity could have taken over their minds and made them feel hatred towards Naruto. Also, it might be related to a family secret or feud. There could be something in the family's past that made them believe Naruto was a stain on their family name, even though Naruto himself was innocent. It could also be a case of false information being spread around the village which made his parents believe lies about him.
Maybe they were under some kind of curse or dark magic that made them fear they would harm Naruto if they were close to him.
It could be that in this fanfiction, there are some external influences like an enemy who has manipulated Naruto's mind. The enemy might have planted false memories or ideas in Naruto's head, making him believe that his parents are not who he thought they were, leading to his rejection.