Well, it could be that the kid serves as a source of motivation for Naruto during his training. He would want to become even stronger to protect his child. Also, the presence of the kid could lead to some comical situations, like when the kid tries to imitate Naruto's training moves in a clumsy way.
It's possible that the kid is a result of some sort of time - travel or alternate reality situation. Maybe the kid is actually Naruto from a different timeline or dimension, and Naruto has to figure out how to deal with this strange situation while on his training trip.
Well, Naruto might learn some new and powerful jutsus during the training trip. Maybe he meets some unique characters who teach him special skills or give him valuable advice.
In such a fanfiction, Naruto might return to the village with new and powerful jutsu. He could surprise his friends with his enhanced skills. For example, he might be able to create new types of shadow clones or have a better control over his chakra. Maybe he would also have new insights on how to deal with his enemies, like Orochimaru or the Akatsuki.
Well, perhaps in this fanfiction, Naruto would meet some long - lost clans or masters during his extended training trip. They could teach him ancient and secret techniques that are not known in the normal Naruto world. He might also form new and unexpected alliances with other characters. For example, he could team up with a group of wandering ninjas who have unique skills. And his training trip could also be a journey of self - discovery, where he learns more about his parents and their legacy, which in turn gives him more motivation and strength to become a better ninja.
In the fanfiction's training trip, Naruto may encounter some spiritual beings. These beings could be related to the origin of chakra or some long - forgotten ninja legends. Interacting with them would be a very different experience for Naruto. He would have to use not only his physical skills but also his wits and understanding of the ninja world's deeper mysteries to communicate with them. This could lead to a major transformation in his ninja journey, as he delves deeper into the spiritual side of the ninja arts.
Naruto might meet some foreign ninjas from far - off lands that have completely different fighting styles. These ninjas could teach him new ways to use his chakra and improve his combat abilities. He may also encounter some mysterious hermits living in the mountains or forests who possess great wisdom and unique jutsu. They could guide him on his journey of self - improvement and give him valuable advice on how to become stronger as a ninja.
He could meet an old hermit ninja who imparts his wisdom and knowledge to Naruto. This hermit might have been living in seclusion for years, but seeing Naruto's potential, decides to teach him things not found in normal ninja training.
In the fanfiction, Naruto's training trip with Temari could lead to some interesting character developments. Naruto, being his determined self, might inspire Temari to be more ambitious in her own ninja goals. On the other hand, Temari's no - nonsense attitude could help Naruto focus more on his training. They might even have some friendly competitions during the trip to see who's stronger in certain areas of ninjutsu.
During the training trip, they might face some tough opponents. This would force them to rely on each other and grow closer as a result. They could also discover new places with unique chakra sources that enhance their abilities.
He could learn new and powerful jutsus. For example, he might discover some unique wind - style jutsus that are not in the original series. This would make him more formidable in combat.