It might make her appreciate the original story more. Seeing all the different takes in fanfiction can highlight how unique the original is.
On the other hand, it could distort his view slightly. If some fanfiction takes extreme liberties with the original concepts, Percy might start to see the original work in a different, and not necessarily accurate, light.
It also changes their dynamic in a group. Others around them start to see them as a more united couple. In a quest, they might make decisions more jointly now. Their kiss is like a public declaration of their closeness within their community.
However, if it's due to relationship issues, like an argument, her sleeplessness might initially create distance. She might be more withdrawn and Percy might not understand why. But as they start to communicate about it, it could lead to a better understanding of each other and a more mature relationship.
His view of the original books could be both broadened and deepened. By reading fanfics, Percy is exposed to different takes on the story, characters, and settings. This can make him look at the original books from new angles. He might start to question some of the choices made in the original, or he might gain a greater respect for the author's original vision. Additionally, if he reads fanfics that expand on the world - building of the original books, he'll have a more comprehensive understanding of the overall fictional universe when he returns to the source material.
On the other hand, she could try to honor Percy's sacrifice. Annabeth might focus on the reasons why Percy died for her and strive to fulfill any tasks or goals that he might have hoped she would achieve. She would carry on his legacy in a positive way, even though she is heartbroken.
It can create a lot of drama. The story then might focus on Percy's attempts to win her back, which can be full of interesting challenges and character growth for him.
However, in the long run, it might actually strengthen their bond. If they can resolve the issues that led to the yelling, they can grow closer. They could learn more about each other's perspectives. For example, if Annabeth yells because of Percy's recklessness, he might start to be more cautious, which would be a positive change for their relationship.
Well, it would probably shatter Annabeth. Percy is her closest friend and love. His death would leave a huge void in her life. She might become more withdrawn, consumed by grief. She could also become more determined to carry on Percy's legacy in the fight against the forces they were up against.
It could make him appreciate the original series more. By seeing different takes on the story, he'll notice the unique aspects of the original plot and characters that the author created.
Percy could bond with Annabeth's family over shared interests in Greek mythology. Since they are all part of the demigod world, they might have stories and knowledge to exchange. He could also show off his combat skills or his ability to control water in a friendly way to impress them.