Harry might be more confident in the wizarding world's political and legal systems. Since Amelia Bones is associated with the Ministry of Magic, he would be exposed to those aspects from a young age. For example, he would understand the inner workings of the Ministry better than in the original story, which could make him more of a rule - abiding but also a more politically - savvy character.
Harry's character would develop a greater sense of justice and order. Amelia Bones is associated with the Ministry of Magic and upholds the law. Harry would grow up with a stronger understanding of the wizarding legal system. He might also be more diplomatic in his approach to problems, having learned from Amelia's way of handling things in the wizarding community.
He would likely be more confident. Growing up with his grandparents, who presumably love and support him, he wouldn't have the self - doubt that came from living with the Dursleys. He would be more self - assured in his magical abilities from the start.
He'd probably be more refined in his manners, as French culture often emphasizes politeness and etiquette. His accent would be different, of course. And he might be more confident in expressing his emotions, as the French are generally more open about feelings. Also, his view of magic might be more influenced by French magical aesthetics, which could be more about elegance and style.
He would probably have a different view on magic. Crowley's knowledge of magic, which may be more on the dark side, would shape Harry's understanding. For example, he might be more willing to use magic for personal gain rather than for the greater good as he was taught in the original story. He could also be more proficient in some types of magic that are considered taboo in the normal wizarding world.
Naruto's confidence would likely be different. Instead of the somewhat brash confidence that came from constantly proving himself in the original story, he would have a more serene and assured confidence, based on Hagoromo's teachings. His understanding of the world would be more profound from the start. He wouldn't view enemies as simply 'bad guys' but rather as products of a flawed system. His sense of justice would be more complex and far - reaching. He would strive for a more global peace rather than just the protection of his village. Also, his relationship with Sasuke would be less about rivalry and more about shared understanding. They would both be on a path towards a greater good, and Naruto would be more able to communicate his ideas to Sasuke, preventing some of the rifts that occurred in the original story.
His character would likely be more confident. Growing up with a loving mother like Lily, he wouldn't have the insecurities that came from the Dursleys' treatment.
His character could become very conflicted. On one hand, he is being taught by villains, so he might be cynical and distrustful. But on the other hand, he might have an innate goodness that fights against what he's being taught. He could develop a unique set of skills, like the ability to deceive and manipulate from the villains, but also a sense of honor that comes from within.
Harry could develop a more unique style of magic. His grandfather might have his own way of doing magic, and Harry would learn from that. For example, his grandfather could be more in tune with nature magic, and Harry would then incorporate that into his spell - casting, making his magic more diverse and less reliant on the traditional Hogwarts curriculum.
His character would likely be more cynical. Growing up among monsters, he'd see the cruel side of the world early on. He might be more distrustful of others, even those who seem friendly at first. For example, when he finally meets other demigods, he'd be hesitant to trust them right away.
Amelia Bones would likely develop a more empathetic side. If she travels back in time, she might see the early struggles of the wizarding world in a new light. For example, if she meets young witches and wizards who are being oppressed by dark forces, she could become more determined to fight for justice in her own time. Harry Potter, on the other hand, if he were to travel with her or be influenced by her time - traveling actions, could become more aware of the long - standing history of the fight against evil. He might learn from Amelia's experiences and use that knowledge to be a better leader in the fight against Voldemort.