In fanfiction, Percy's time control power can have a huge impact on his relationships. If he goes back in time to change something related to a friend, like preventing them from getting a bad injury, it might change their whole personality in the present. This could make their current relationship feel different. Also, if he uses time to skip ahead and see how his relationships will be in the future, it could make him act differently in the present towards his friends and family, either trying too hard to maintain a certain future or being overly cautious.
His power can make his relationships more complex. For example, if he uses time control to be with a friend more often, that friend might start to feel like Percy is being overbearing. On the other hand, it could strengthen his relationships. He could save a loved one from a dangerous situation in the past, which would deepen their bond.
Well, let's say Percy has a disease that affects his powers. His relationship with his demigod friends could change. They might start to see him as a liability instead of a strong leader. And his relationship with the gods could also be altered. The gods might either try to use his weakened state for their own ends or completely abandon him, which would have a huge impact on how he views them and his place in the world.
With his other demigod comrades, it could change the dynamics in group situations. Some might look at him with pity, which Percy would hate. Others might be inspired by his courage in the face of cancer. It could also lead to some new alliances forming as they all try to find a cure or a way to help Percy manage his condition.
His relationship with his sensei, like Kakashi, would also change. Kakashi would probably be more cautious and try to guide Naruto in using this power responsibly. Naruto's new power could also attract the attention of new characters, either those who want to use him for their own gain or those who want to help him master it. This would bring new dynamics to his relationships.
Another way could be via some sort of magical artifact. For example, he discovers an ancient amulet that has the power to enhance his natural abilities. When he touches it, it starts to merge with his essence, gradually making him stronger and endowing him with new powers like the ability to control different elements related to water, not just manipulate it.
If he gets a new and powerful ability, his friends might feel a bit intimidated at first. For example, if he can control time, they may worry that he could change things without their consent. But over time, they would learn to trust him with this power and it could actually strengthen their bond as they work together to use it for good.
His intelligence might make his relationships more complex. With his friends, they could look up to him for his smarts. For example, they might come to him for help with their studies or for solving problems. But it could also create a bit of distance at times. If he's always thinking several steps ahead, his friends might have a hard time keeping up with his ideas.
It could strengthen his relationship with his friends. For example, they might be in awe of his new power and support him in mastering it. His friends could also help him find new ways to use the glass - controlling ability in battles.
If he has new powers like mind - reading, it might make his friends a bit wary at first. They might be worried he'd pry into their secrets. But over time, it could strengthen their bond as he uses it to understand them better and protect them from hidden threats.
His relationship with Annabeth would likely change. She might be both in awe and a bit worried about his new powers. For example, if Percy can now control wild animals, she might be concerned about how he uses that power in battle. On the other hand, Grover would be extremely excited. Grover has always had a connection with nature and animals, and now Percy being the god of animals would make their bond even stronger. They could go on more adventures together, exploring hidden animal habitats.
If Percy is taller in fanfiction, it might make him seem more imposing in his relationships. His friends could look up to him literally and figuratively. In romantic relationships, a taller Percy could be seen as more protective. For example, he could easily shield his partner from danger.