Luke himself would have a very different relationship with his own followers. If Percy's death makes him realize the wrongness of his actions, he might try to distance himself from his old allies who were involved in the actions that led to Percy's death. This would cause a rift among his group, with some still believing in the old cause and others being swayed by Luke's newfound conscience. At the same time, Luke would be constantly thinking about Percy and might even start to idolize him in a way, trying to live up to the selfless hero that Percy was.
At first, it could be quite rocky if they find out later in the story. Percy might be angry that Luke has been keeping secrets or has done bad things in the past. But eventually, they would likely grow closer as they realize they are family and start to support each other.
Perhaps in this fanfiction, Percy's death causes a shift in the balance of power. Luke, who was originally the 'bad guy', might have a change of heart after Percy's unexpected death. He could start to see the error of his ways and try to make amends, but face great opposition from both sides as no one trusts him. His journey of redemption becomes a central theme, intertwined with the grief and confusion of Percy's friends.
In such a fanfiction, the relationship between Annabeth and Percy would be in tatters. Annabeth would have to deal with the fact that the person she loved and trusted left her at such a crucial time. Their friends' relationships would also be affected. Those who are closer to Annabeth would probably cut off ties with Percy. However, there could be a chance for redemption. If Percy realizes his mistake and tries to make amends, it could lead to a slow rebuilding of their relationship, but it would be a long and difficult process, especially with a baby in the picture.
First of all, Naruto and Sasuke's relationship would take a hit. They have this intense connection in the original story, and this sudden act by Naruto would make Sasuke feel like Naruto has abandoned their relationship. For Ino, she would be thrown into a new situation. She may have had her eyes on Sasuke before, but now Naruto has kissed her. This could make her reevaluate her feelings for both of them. As for the other characters, they would be shocked. Shikamaru might be especially intrigued as he's a close friend of Ino. He would probably try to figure out what's going on in Naruto and Ino's heads, and this could also create new interactions and relationships among the group.
His relationship with Annabeth would likely be different. With Hestia's influence, Percy might become more domesticated. Annabeth could be both intrigued and a bit confused by this new side of Percy. She might initially be skeptical of Hestia's adoption but later see the positive changes in Percy.
In time travel situations, they may have to rely on each other in ways they haven't before. For example, if they travel to a time when the Force is not well - understood, Luke may have to depend on Han's non - Force - related skills more. Leia might find herself in situations where she has to mediate between Han and Luke more often, strengthening their bond as a trio. Their relationships would grow deeper as they face new challenges together.
If they time travel, their relationships might become more complex. For example, if they go back in time to before they met, they might initially not trust each other as they do in their own time. Han might be more distrustful of Luke's Jedi abilities, and Leia might not see Han as the hero she knows him to be. But as they face challenges together in the past, they could form deeper bonds in different ways than they did originally.
With his friends like Grover, Percy would seem like a completely different person. Grover is used to Percy's emotions guiding his actions. Now, Percy would be cold and calculating. His friends would have to constantly remind themselves that this is still Percy, but it would be hard for them to connect on the same level. They might start to doubt if they can still trust him, as his lack of emotions could make his decisions seem unpredictable.
His relationship with Annabeth would likely be strained at first. Annabeth might be skeptical or even a bit afraid of Percy's new 'Ares - side' as the god of war is not exactly known for his peaceful nature. However, over time, she could come to understand and accept this new part of Percy.
If Percy becomes the Champion of Chronos, his relationship with his father Poseidon would be complex. Poseidon might try to free Percy from Chronos' influence. Percy's relationships with his fellow demigods would be full of suspicion. They would be constantly watching him to see if he shows signs of following Chronos' evil intentions. However, Percy could also use this new position to bring together characters who were previously at odds. For instance, he could broker a truce between two warring groups in the demigod world by showing them the greater threat of Chronos.