He may develop a more reckless side. Feeling like he has something to prove now that he has this 'disability' of sorts. He could be more willing to take risks in battles, thinking that he has less to lose. This new - found recklessness could either lead to great victories or put him and his friends in more danger than before.
He might seem more studious. Wearing glasses could give the impression that he's more into reading and learning new jutsu. So he could be seen spending more time in the library or with his sensei, trying to understand complex ninja techniques.
Maybe he got injured in a new dark wizard battle. The eyepatch could be a sign of his sacrifice and new - found determination. It would add a cool, rugged look to his character and could lead to new relationships as people view him differently.
He would become more responsible. He has to take care of another person now, so he can't be as reckless as he sometimes was. For example, he'd think twice before running into danger because he has his sister to consider.
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.
His personality would be more aggressive. Yautja are hunters, and growing up with them, Harry would adopt their aggressive nature. He would be more direct in his actions and less likely to hesitate.
He would become more rebellious. Harry has always had a bit of a rebellious streak in the original series, but as a pirate, it would be amplified. He'd be more likely to question authority and do things his own way without waiting for permission.
If Harry Potter was raised by Natsu, his personality would change drastically. Natsu is a very passionate and hot - tempered character. Harry would be influenced by this passion and would be more driven in his pursuits. He would no longer be the meek boy who was bullied by the Dursleys at the start. Instead, he would be more confident and assertive. His sense of justice would also be more like Natsu's, which is more about immediate action rather than following a set of bureaucratic procedures. He would probably have a stronger sense of loyalty towards his friends as well, because Natsu values friendship above all else and would instill this value in Harry.
His personality might become more reserved. Growing up with a Shinigami would expose him to different values than the normal wizarding ones. He might not be as quick to trust or be as carefree as in the original story. Instead, he'd be more cautious and perhaps a bit more brooding, always thinking about the deeper meaning of things and the consequences of actions.
His personality would be greatly influenced by the forest environment. He would be more wild and free - spirited. Growing up away from the constraints of wizarding society, he would have a different set of values. He would be more empathetic towards animals and nature, seeing them as equals rather than something to be used. He would also be more solitary at first, but once he meets others, he would form very deep and loyal relationships as he values connection on a deeper level.
He'd probably be more timid at first. Tsuna is known for being a bit of a wimp in the beginning, and even though Harry has his own insecurities, being in a new world and a new body might make him even more hesitant. But as he gets used to things, his brave side from his past life would start to show more. He'd still have that sense of justice and a willingness to protect his friends, just like he did in the Harry Potter world.