It can create a lot of tension. The team dynamic is a big part of the Naruto story, so when Naruto ignores them, it throws everything off balance. The other members of Team 7, like Sasuke and Sakura, will have to react to this. They might try to find out what's wrong with Naruto or they could also become angry with him.
It can also be a chance for character development. For Naruto himself, he may realize the importance of his team later on after ignoring them for a while. This realization can be a big step in his growth as a character. And for Team 7, they may become stronger individually as they try to deal with Naruto's absence and also learn to rely on each other more.
It could derail the plot completely. For instance, if the Seal Master was supposed to teach Naruto a crucial sealing technique to stop an upcoming evil, his ignorance means that evil might succeed. So the whole story takes a darker turn as the heroes are now at a disadvantage.
The plot could take a darker turn. Without Naruto in the team, the team might struggle to complete important missions. This could lead to negative consequences for the village, like losing territory or influence. For instance, if the team was supposed to protect a key trade route and fails without Naruto.
Naruto snapping at Team 7 can split the group. This split could lead to different story arcs for each character. Maybe Naruto goes off on his own adventure and Team 7 has to continue their mission without him. As they each face different challenges, their growth and development are affected, and this can completely change the direction of the story. Also, it can attract the attention of antagonists. If the team is in disarray because of Naruto's outburst, villains might see it as an opportunity to attack.
It can create a lot of tension. For example, the team members might be confused and try to figure out why Naruto is avoiding them. This can lead to internal conflict within Team 7. They might start to doubt themselves or their relationships.
Sasuke might become more withdrawn. He was always in a sort of rivalry with Naruto, and without Naruto there, he could lose some of his motivation to get stronger. Sakura would be devastated. She cared about Naruto, and his leaving would make her question what went wrong. Kakashi would also feel a sense of failure as a teacher.
If Naruto quits Team 7 in the fanfiction, it could introduce a whole new set of storylines. There could be a search for Naruto by Team 7, which would involve them exploring new places and meeting new characters. The emotional impact on the other characters would also be significant. Sakura might feel guilty, thinking she could have done something to prevent Naruto from leaving. Sasuke might be more conflicted about his own goals, as Naruto was always a driving force in his life. And Kakashi would have to deal with the failure of keeping the team together, which could lead to his own character development in unexpected ways.
It can create a lot of tension. The whole dynamic of Team 7 is based on their friendship and cooperation. If Naruto is mad at them, missions could go wrong. For example, he might not cooperate during a fight, which could put the whole team in danger.
Well, it doesn't really have a direct impact on the creation of fanfiction. Fans will continue to write fanfiction regardless because they love the world and characters. However, it might make some fans feel a bit more removed from the official source. They might create fanfiction with a sense of it being a completely separate entity from the 'true' Harry Potter world as defined by J.K. Rowling.
If Naruto is a brother in this fanfiction, it would change the dynamic quite a bit. He might be more bossy in a brotherly way, making sure his 'siblings' in Team 7 are training hard and staying out of trouble. His relationship with Sasuke, for example, would become less of a rivalry and more of a brotherly competition to make each other better. And with Sakura, he could be more over - protective, which might annoy her at times but also make her feel secure.
Naruto's cooking can bring the team closer. When he cooks for them, it shows his care and friendship. They can gather around the table, share a meal, and have a more relaxed time together, strengthening their bond.