Harry would likely be more unpredictable. Dionysus was a god of chaos in some ways. So, Harry's actions might not always follow the traditional wizarding norms. He could be more impulsive when it comes to using his magic, relying on his Dionysian instincts rather than the usual spell - casting rules.
He would be more in tune with nature. Since Dionysus is associated with nature, Harry might have an instinctive understanding of plants and animals that normal wizards don't. For example, he could communicate with magical beasts on a deeper level.
He would be much more aggressive in combat. With Ares as his father, he'd have a natural warrior instinct. He might not shy away from a fight like the original Harry. For example, he could be the first to charge into a battle against Death Eaters.
He would be more physically capable. Natasha's training would make him better at hand - to - hand combat compared to the original Harry. He might also be more confident in dangerous situations.
Harry would be a different character in this fanfiction. He'd have a different upbringing, being the son of James Bond. This would give him a different perspective on the world. He would be more attuned to the Muggle world's espionage and intrigue, which would affect his relationships at Hogwarts. He might be a bit of an outsider among his peers, as his experiences and knowledge would be more diverse. He could be more of a loner, but also more self - reliant. His decision - making would be influenced by Bond's rational and calculated approach. For example, when facing a dark wizard, he might analyze the situation more like a spy, looking for weaknesses and planning several steps ahead, rather than just reacting impulsively with magic as the original Harry might do in some cases.
He would probably be more in tune with death and the afterlife. Since Anubis is associated with death in Egyptian mythology, Harry might have a more solemn and respectful attitude towards it. He could also be more mysterious, as his connection to Anubis would set him apart from other wizards.
His upbringing would be very different. Instead of growing up with the Dursleys, he might be raised in a more militaristic environment. There would be strict training regimes from an early age, like how Master Chief was trained. He'd probably be more physically fit and have better combat skills than the regular Harry Potter. Also, he might not be as naive about the outside world as the original Harry, having been exposed to different forms of danger and survival techniques early on.
Harry would likely be more wild in a sense. Dragons live by their instincts, and he'd pick up on that. His magical abilities could be more primal. Instead of relying on the spells taught in Hogwarts, he might use magic in a more raw and unrefined way. Also, his sense of loyalty might be more towards the dragons rather than the wizarding community initially.
He would be more refined. Royal upbringing would instill in him a sense of propriety and elegance that he lacks in the original story.
He would be different in terms of his heritage. While the original Harry Potter was the son of James and Lily Potter, this Harry has the combined power of Merlin and Morgana in his blood. So, his magic would likely be more complex and potentially stronger. He might also have a different set of moral challenges due to his parents' natures.
He would be more confident in his powers from the start. Since Jean Grey is a very powerful mutant, Harry would inherit some of that self - assurance. He might also be more empathetic, as Jean has strong telepathic abilities that often involve understanding others' emotions.
He'd be more of a badass. Harry would probably be more confident and assertive, taking charge like Fury. He might not be as hesitant in the face of danger as in the original books.