Naruto might end up feeling extremely lonely. His family has always been an important part of his life. Without their support and presence, he could become depressed or start making even more reckless decisions. Also, if his family tries to search for him, they could get into danger themselves in the process, which would be an unintended consequence of his hiding.
In the long run, if he continues to hide from his family in the fanfiction, his relationships with other friends and allies could also be affected. His family might spread the word that he's missing or hiding, and some people might start to distrust him too. Plus, he may miss out on important family events and celebrations, which could create a rift that is hard to mend later.
Perhaps he has hidden the full extent of his Sage Mode abilities. He might be able to stay in Sage Mode for a much longer time than he has shown so far, or have some other undisclosed powers within that mode, like the ability to sense enemies from much greater distances.
His friends might react with shock and confusion. They might not understand why he has been hiding this from them, and it could cause a rift in their relationships until he explains the reasons behind it. For example, some friends might feel betrayed that he didn't trust them enough to share this secret.
One consequence could be that his friends might start to suspect him. Since Naruto is usually an open book, hiding something as significant as his eye could make them wonder what he's up to.
It could also lead to a divergence from the core values of the Naruto series. The series often emphasizes family, friendship, and love in a positive way. If Naruto hates his family in fanfiction, it goes against these values and may cause some fans to be disappointed.
His reputation in the ninja world could be damaged. If Padme spreads false information or reveals his secrets, other ninja might view Naruto differently. They could see him as a liability or a threat. This could lead to him being isolated in the ninja community, and he might have to fight harder to prove himself again.
One possible consequence could be that Naruto is ostracized by some in the ninja world. Since controlling blood is a rather strange and perhaps 'creepy' ability to some, they might view him with suspicion or fear. This could lead to him having to prove himself more often in battles and interactions.
He could become stronger on his own. Away from his family, he'll have to rely solely on himself. This self - reliance might push him to train harder and unlock even more of his 'godlike' powers. For instance, he might find new mentors or training methods that his family would not have allowed.
The overall theme of the fanfiction could change. If Naruto absorbs Orochimaru, the story could start to explore themes like the nature of power and corruption more deeply. It might also delve into how Naruto can use Orochimaru's power for good, rather than succumbing to the evil associated with it. This could make the fanfiction more of a moral exploration within the Naruto universe.
One possible consequence is that he could lose the trust of his friends. If everyone believes he is responsible for something his sister did, his friends might start to distance themselves from him.
Naruto might also go through an identity crisis. His whole life has been centered around being a ninja with chakra and using powerful jutsu. Losing his chakra could make him question who he is and what his purpose is. He would have to redefine himself and find a new way to contribute to the ninja world. This could be a long and difficult process for him.