In a fanfic where Percy is born on Olympus, his powers would be significantly different. Firstly, he'd have a stronger connection to the elemental forces related to water. This could mean that he could not only control water but also transform it into different states more easily. For instance, he could turn water into ice sculptures or steam clouds with just a thought. Secondly, his powers might be enhanced by the ambient magic on Olympus. He could draw on the power of the place itself to boost his abilities. This might also give him the ability to interact with other divine powers in a more harmonious way. He could potentially combine his water - based powers with the powers of other gods in a more seamless manner, creating entirely new and powerful abilities.
His powers could be more nature - based. For example, instead of just controlling water, he might be able to control all forms of liquid in nature, like sap or blood. His connection to the wild could also make him more attuned to the emotions of animals, allowing him to communicate with them more effectively.
Well, in a fanfiction where Percy is born in Greece, his powers would likely have a more 'Greek - flavoured' aspect. Since he's in the homeland of the Greek gods, his connection to water could be intertwined with the Greek concept of the four elements. So, his water powers might interact more with the other elements in a way that is more in line with Greek elemental theory. He might also be able to draw on the power of Greek water deities more directly, which could enhance his abilities and give him new ways to use his powers in battles and other situations.
If Percy Jackson was born on Olympus, his life would be very different. He'd grow up surrounded by gods and goddesses, which means he'd have access to a lot of power and knowledge from a young age. He might be trained by the best warriors among the gods. His relationship with his mortal family would be quite strange as he'd be so far removed from the mortal world.
His powers would likely be much more elemental. Since Ouranos is associated with the sky, he might have powers over the air, such as creating powerful winds or even controlling the weather on a greater scale than before. And from Gaea, he could have enhanced earth - based powers like causing massive earthquakes or having a deeper connection to the land, perhaps being able to communicate with all forms of plant and animal life that are rooted in the earth.
In this fanfiction, Percy would likely have powers related to both Apollo and Athena. Canon Percy has water - based powers from Poseidon. But here, he might have the ability to heal like Apollo, which would be a huge difference. He could also have enhanced intelligence and strategic thinking from Athena. So instead of just relying on his strength and water powers in battles, he could use his wits and healing abilities as well.
His powers would likely be a blend of his original demigod abilities and those of Odin. He may still retain some connection to water, but it could be transformed. Maybe he can turn water into ice like the Norse frost giants. Also, he could have Odin's gift of knowledge, which means he could understand ancient languages or know things about the past and future without being taught. This would give him an edge in battles and quests compared to the original Percy.
His powers would be much more extreme. Instead of just controlling water like he does as a son of Poseidon, he could control light and air elements. His connection to Aether could give him the ability to manipulate the very fabric of the upper atmosphere. And from Hemera, he might have the power to bring instant daylight or even manipulate time related to the day - night cycle.
His water - controlling powers could cause some interesting situations. For example, if there was a leaky faucet in the classroom, he could accidentally make the water spray everywhere in a fit of distraction. Or he could use it to create a cool mist during a hot day to cool down the classroom, much to the surprise of his classmates.
Well, Annabeth might be a bit more in awe of him at first. Since he's born a superhero, he'd have powers from the start. But she'd still be her intelligent self. She could be more protective of him, knowing his powers might attract more dangerous enemies. Their dynamic would still be based on mutual respect, but Percy's new - born status as a superhero could add some new challenges to their relationship.
His original abilities mainly focused on water control and some combat skills related to his sword. As the God of Natural Disaster, his powers would be much broader. He could control not just floods but all kinds of natural disasters like earthquakes, tornadoes, and wildfires. His influence would extend over a much larger area too, not just water - related areas.