It could also be due to a sense of ownership. Percy has achieved a lot with the help of the gods, and Athena might feel that she has some claim over him because of the assistance she or other gods associated with her have provided. In the context of the fanfiction, this sense of ownership could translate into possessiveness.
In some cases, Athena's possessiveness could be demonstrated by her attempts to shape Percy into her ideal hero. She may offer him special training or knowledge, but with the underlying intention of making him more like her vision of a perfect demigod. This could put Percy in difficult situations where he has to balance her expectations with his own desires and the needs of his friends.
In fanfiction, the concept of Ares being possessive of Percy can also stem from the idea of forbidden or complex relationships. The contrast between Percy's more heroic and noble nature and Ares' war - like and often brutish ways creates an interesting dynamic. Ares may view Percy as a symbol of what he can't be, and his possessiveness could be a way of trying to corrupt or change Percy to fit his own view of the world.
Well, in some fanfictions, Hermes might be possessive of Percy because Percy could possess certain qualities or powers that Hermes wants to control or have an influence over. Maybe Percy has a unique connection to the world of the gods that Hermes sees as valuable.
Well, in some fanfictions, Luke might be possessive of Percy because he sees Percy as a symbol of power or potential. He may want to control Percy to use his abilities for his own goals, like in the original story where Luke has his own dark motives. Also, it could be out of envy. Percy has things that Luke might feel he lacks, so his possessiveness could be a way to try and take what Percy has for himself.
It could be because of the potential for a romantic relationship in fanfiction. Some fans like to explore the idea of Nico having romantic feelings for Percy. In that case, possessiveness might be a natural part of showing his intense emotions. He wants Percy all to himself, not sharing him with others, especially when there are other characters who might also be interested in Percy.
It could be that Aphrodite senses some unique potential in Percy when it comes to love. Maybe she foresees that he will play a crucial role in some grand love - related event in the future. So, to ensure that things go according to her plans, she becomes possessive. She doesn't want other forces or characters to sway Percy from the path she has in mind for him.
It could be that Zoe has a special connection with Percy that she doesn't want anyone to interfere with. So she becomes possessive to safeguard that connection.
In these fanfictions, Percy often retains his bravery and loyalty. His more impulsive nature can create interesting dynamics with Athena's calculated wisdom. For example, he might rush into a situation while Athena is thinking of a strategic plan.
Well, Percy has been through a lot in his own story. Reading fanfiction could be a form of escapism for him. He might find it exciting to see what kind of wild ideas fans have come up with. In the fanfiction, he could discover new interpretations of the prophecy he is involved in. Also, he might be interested in seeing how fans have written about his powers and how they can be used in different situations that are not in the original book.
In some fanfics, Zeus might be possessive of Percy because Percy represents a powerful force or potential. Zeus, being the king of the gods, wants to control all sources of power. Percy's abilities and his role in the demigod world could make Zeus see him as something to be owned or at least controlled.