His personality would likely be very guarded. Growing up in Azkaban, he'd have to be constantly on edge. He'd be less likely to trust others easily and more likely to keep his emotions bottled up. He might be a bit of a loner, used to fending for himself.
His personality would likely be more introverted. Itachi was a rather quiet and introspective person, and this trait would rub off on Harry. Harry would probably be more cautious in his actions and less impulsive.
His personality would be more noble. Aslan is a symbol of nobility and righteousness. Harry would likely inherit those traits, being more selfless and having a stronger sense of justice. He'd be more like a natural leader.
If raised by Xander, Harry would be more street - wise. Xander has had to fend for himself in a tough world. Harry would pick up on that. He would be less naive about the world around him. His sense of right and wrong would also be influenced. Xander has a moral code that is a bit more flexible than the strict wizarding world's. Harry might be more willing to break the rules if it means doing the right thing in a more complex situation. For example, he might be more likely to help a dark wizard who has been wrongly accused, rather than just following the Ministry's orders blindly.
Harry's personality would develop in a very different way. Growing up with Sirius and Remus, he'd be constantly surrounded by tales of the Marauders. This would make him more mischievous in a good way. He'd have a better understanding of the grey areas in life, as Sirius has a bit of a wild side and Remus has his own struggles. Harry would also be more independent, as Sirius and Remus would encourage him to think for himself and not blindly follow rules. He'd be more likely to question authority, especially when it seems unjust. And his sense of humor would be more developed, as Sirius is known for his jokes and pranks. Overall, he'd be a more well - rounded and confident young wizard.
His personality might become more bold and heroic in the Camp Half - Blood way. Demigods are often expected to be brave and go on dangerous quests, so Harry would likely grow up with that sense of adventure and fearlessness.
Harry would likely be more confident. With Sirius as his sole guardian in France, he'd be away from the Dursleys' abuse. Sirius would encourage Harry to be bold and fearless, and without the constant pressure of the British wizarding community's expectations, Harry could be more laid - back and easy - going.
He might become more reserved. Shinobi are often taught to keep their emotions in check, so Harry would be less likely to be as openly angry as he sometimes is in the original story.
Harry's personality would likely be a blend of his original traits and Wolverine's. He'd be more solitary at times, like Wolverine. But also, he'd still have that underlying sense of justice from his own story. He might be more cynical too, due to Wolverine's jaded view of the world. He would probably be quicker to act and less patient with bureaucracy or rules that don't seem to make sense.
Harry's sense of humor might be different. Instead of the quick - witted and sometimes sarcastic humor he had in the original story, he could have a drier, more understated sense of humor. Snape's own rather caustic personality could influence Harry to be more subtle in his jokes and remarks, and perhaps a bit more cynical at times.
If raised by Hecate, Harry would likely be more self - assured in his magical abilities from an early age. Hecate's teaching methods might instill in him a deep sense of pride in his magic. He could also be more aloof, as he would be used to a different kind of magical society under Hecate's influence. His values would be shaped by Hecate's ancient wisdom, so he might be more focused on the bigger picture of magic in the universe rather than just the wizarding world's problems.