The Olympians' reactions to reading The Lost Hero fanfiction would vary greatly. Hermes would be the first to spread the news among the gods. He loves gossip and new things. Demeter might be indifferent as she is mainly concerned with the harvest. But for Artemis, if the fanfiction in any way misrepresents her values or her hunters, she would be furious. Hephaestus might be interested in the technical aspects of how the fanfiction was written, like the structure and the use of language.
If the Olympians read The Lost Hero fanfiction, their view of mortals could change in multiple ways. Poseidon might develop a newfound respect for mortals' imagination. He could see that mortals can come up with interesting twists and turns in the stories related to the gods. Hera, though, might become more disdainful. She might think mortals are meddling in things they don't understand and are distorting the true nature of the Olympians. Apollo, on the other hand, could start to view mortals as potential collaborators in the world of storytelling, given his own love for stories and poetry.
It's hard to say if it's common. There's no large - scale data on this. Some Olympians might be interested in fanfiction, while others may not be aware of it or simply not interested in this form of literature.
Well, in the context of the 'Lost Hero' world, there's no canonical evidence to suggest that the gods read fanfiction. Fanfiction is a creation by fans for fans, and it exists outside the official narrative of the story. So, probably not.
Yes, some Olympians might read Naruto fanfiction. Just like anyone else, Olympians can have diverse interests outside of their sport. Naruto has a huge fan base worldwide, and its fanfiction offers a wide range of creative stories. Olympians, during their downtime, could be attracted to the imaginative and often exciting tales within Naruto fanfiction.
There's also 'Annabeth's Quest'. This fanfiction focuses on Annabeth and her own solo adventure. She has to find a lost artifact that has the power to either save or destroy the demigod world. It shows a different side of Annabeth, her intelligence and leadership skills, which is really fascinating.
It's highly unlikely that the Olympians in Greek mythology would actually read fanfiction books in the traditional sense. They are mythological beings and exist in a different realm of stories. Fanfiction is a modern concept mainly for human fans to explore and expand on existing fictional universes.
Jason could be reading The Lost Hero fanfiction to see how other fans view the characters. Different writers in the fanfiction community may have very different takes on the heroes and villains in the story, and he might be interested in seeing those diverse perspectives.
You can try websites like FanFiction.net or Archive of Our Own (AO3). These platforms have a large collection of fanfictions, including those for 'The Lost Hero'. Just search for 'The Lost Hero' on their search bars and you'll find a variety of stories.