Why would Naruto go to the library in fanfiction?

It could be that he was chasing an enemy or a valuable item that ended up in Hozukijou. Naruto is often on a mission to protect or retrieve something, and this place might be the destination of such a quest.

It's possible that there's a strange illness going around the village and Naruto goes to the hospital to see if he can offer any help. He has a strong sense of justice and would want to do whatever he can to stop the spread of the illness and make sure everyone gets better.

In some fanfiction concepts, Naruto may go to Orochimaru for the sake of a friend. For instance, if a friend is dying and Orochimaru has the cure or a way to save that friend. Naruto is very loyal and would do almost anything for his friends. So, he might take the dangerous step of going to Orochimaru, even though he knows how dangerous and untrustworthy Orochimaru is.

One reason could be for guidance. Naruto often looks up to Kakashi and might need his advice on a difficult situation, like dealing with a new powerful enemy.

Perhaps Naruto would use the infinite library to understand his enemies better. He could study the weaknesses of his foes by finding information about their clans or fighting styles. Also, he might find books that could help him train his friends more effectively. The library could be a source of great power for Naruto, not just in terms of combat skills but also in terms of wisdom and leadership.

They may be hiding because of a prophecy. There could be a prophecy that says Naruto and Temari together can change the fate of the ninja world in some way. But there are also forces that don't want this to happen. So, they hide to protect themselves until they can figure out how to fulfill the prophecy safely.

It might be related to Hermione's research. She may have read about some unique magical phenomenon in Australia that she wants to study first - hand. And Harry, being her loyal friend, goes along with her. For example, there could be a special type of plant with healing properties that only grows in certain parts of Australia.

They might go into hiding because there are still some remnants of Voldemort's followers who are seeking revenge on Harry. These followers could be more dangerous than before as they are desperate and hiding in the shadows. Ginny, being Harry's wife, is also in danger, so they choose to go into hiding to avoid any potential attacks.

One reason could be to study rare magical plants. Australia has a diverse range of flora, and some of it might have magical properties that are not found anywhere else. So, he travels there to learn about these plants and their potential uses in potions or other magical practices.

They might go to the Burrow to reconcile. Fanfiction often explores the idea of enemies becoming friends. The Burrow, being a place full of warmth and family, could be a good setting for them to start over. It's a place where they can put aside their differences and get to know each other better without the pressure of Hogwarts politics.