Percy would probably be both entertained and a bit critical. He'd enjoy the new takes on the story but also be quick to spot any misinformation regarding the mythology.
He might be intrigued. After all, it's about a world he's somewhat connected to.
Well, it could be quite interesting. Percy might find it strange to see different interpretations of the Trials of Apollo world. He could be amused by how fans portray the characters, or he might be a bit critical if they get things wrong about the mythology that he's so familiar with.
I really like 'Apollo's New Quest' which is also a Trials of Apollo fanfic. It focuses on Apollo's character development in a way that the original books sometimes skimmed over. It delves deeper into his relationships with the other demigods and how he copes with his new mortal form. It's full of action and some really heart - warming moments.
Percy would probably be angry at first. He has a strong sense of justice and being kidnapped against his will would make him fight back. He might immediately try to use his water powers to break free or at least create a distraction.
Percy's reaction would be a mix of confusion and fascination. The world of Kratos is so foreign to him, with different rules and a much darker tone. However, he would also be drawn to the hero's journey that Kratos undertakes in the fanfiction, comparing it to his own journey as a demigod.
Ruby would be excited. She loves stories full of action and adventure, and Percy Jackson fanfiction would be right up her alley. Weiss might be a bit more reserved, but could still find aspects of it to enjoy, like the complex characters. Blake would be interested in the themes of the story, such as loyalty and friendship. Yang would be enthusiastic, especially about the fight scenes and the strong characters in the fanfiction.
Bruce Banner, when he's not in Hulk mode, would be really interested in the scientific aspects that might be hidden in the Percy Jackson fanfiction. Even though it's a world of magic, he could look for ways that the magic could be related to some kind of scientific principle. He might also be interested in how the characters control their powers, whether it's Percy with his water powers or the Avengers with their various abilities, and look for similarities in self - control and management of power.
The popularity of 'Percy Jackson Trials of Apollo Fanfiction' lies in the fact that the original series has a huge fan base. Fans love to explore different scenarios and character arcs that the official books might not have covered. For example, they can expand on the relationships between the demigods and the gods in ways that Riordan couldn't in the limited pages of his novels.
Percy could be a bit skeptical at first. He's been through a lot in his own world, and fanfiction might seem a bit strange to him. But as he reads more, he could get really into it. He might find himself rooting for the characters in the Red Pyramid fanfiction, especially if they remind him of his friends or himself in some way. For example, if there's a character who is an underdog but has great potential, just like Percy felt in his early days.
Athena, being the goddess of wisdom, might analyze the fanfiction. She could look at how the mortal writers understand the Greek mythology and use it to create new stories. She might be impressed by the intelligence and creativity of some of the fanfictions, or she might be critical of inaccuracies.
He'd probably be shocked. Percy is used to living his own story, not reading someone else's take on it.