Perhaps Tails feels that fanfiction undermines the hard work of the original creators. He might think that the official story should be the only source of information about him and his adventures, and fanfiction is an unwanted deviation from that.
Perhaps Jarvis hates it because it can create false expectations or rumors about the Avengers. Since he is part of their inner circle in a way, he doesn't want inaccurate ideas to spread. For instance, if a fanfiction implies a romantic relationship between two Avengers that is completely untrue in reality, it could cause unnecessary confusion.
Jiraiya was a serious shinobi with a certain code. Fanfiction might play around with that code too much for his liking. It could make light of things he held in high regard, like his loyalty to the Leaf Village or his training of Naruto. So that's a possible reason for his hatred.
One reason could be that it doesn't respect the original story's intention. The original Naruto story is about growth, friendship, and ninja skills. Harem fanfiction for Team 7 just throws in romantic elements that Naruto may find disrespectful to the real story.
In some fanfictions, Peter could have a secret that he's keeping from the Avengers. When it's eventually revealed, they might feel betrayed and turn against him. It could be something related to his powers, or his past associations that the Avengers find unacceptable, thus resulting in their hatred.
Perhaps Percy hates it because it creates a lot of plot holes and inconsistencies in the world he knows. If there's a son of Artemis in fanfiction, it might mess up the way the gods' relationships and powers work in the original story.
One reason could be a conflict of interests. If they are competing for the same thing, like a magical artifact or a position in a magical society, and Susan uses underhanded tactics, Harry would hate her.
One reason could be competition. If Chloe is presented as a rival in the fanfiction, Ash might hate her for trying to outdo him in Pokemon battles or other aspects. For instance, if she constantly shows off her skills or Pokemon, it can make Ash feel annoyed.
One reason could be that he was treated unfairly by other shinobi. If he was constantly looked down upon or discriminated against by his fellow shinobi, it might make him develop a hatred for them.
One possible reason is that Naruto is so focused on his ninja training and his goals in the shinobi world that he views Christmas as a distraction. He might think it takes people's attention away from more important things like self - improvement and protecting the village.
It might be due to the way their goals are presented in fanfiction. Naruto is often about protecting his village and friends. If Artemis's goals in the fanfic are in conflict with Naruto's, like if she's more focused on her own self - interest in the story, Naruto would hate her.