If the new timeline is more dangerous, Harry might become more cautious. He has to be careful not to make mistakes that could cost him his life or the lives of others.
In a different timeline, Harry may face different kinds of hardships. If he has to deal with a lot of betrayal in this new timeline, he might become more distrustful. On the other hand, if he experiences a lot of love and support, he could become more open and friendly. His personality would be shaped by the new environment and experiences he encounters in this other timeline.
He could become more confident. For instance, if in the new timeline he has some special powers or abilities that he didn't have in his original one. He might start to believe in himself more and take on challenges more boldly. Also, if he meets different people who encourage him in new ways, this could also boost his confidence.
His personality might also be influenced by the people he meets in the alternate universe. If he meets a group of very kind and peaceful wizards, he could become more laid - back and positive. On the other hand, if he is surrounded by cruel and calculating wizards, he may become more withdrawn and calculating himself as a form of self - protection.
Naruto could become more curious. A different world means new things to explore, new cultures, and new powers. He would be eager to learn about everything, which could make him seem more inquisitive than he already is. He might start asking a lot of questions to understand how this new world functions.
His personality would likely become more erratic. The Joker's influence is all about chaos and anarchy. Harry might start to laugh at inappropriate times and find pleasure in causing trouble just like the Joker. He could lose his sense of empathy as he is constantly exposed to the Joker's cruel and inhumane behavior.
His personality might become more traditional in some ways. Since the founders are from an earlier time, their values could rub off on him. He might be more reserved like some of the older wizards.
His personality would probably be more cold and calculating. Voldemort's influence would make him less empathetic. He might be more ruthless in achieving his goals.
Well, in the new timeline, Harry could find that Voldemort has already won. This would mean he has to figure out a way to either change the past to prevent this future or find a way to defeat Voldemort in this new, much more difficult situation. It would be a huge challenge for him.
With Ron, they might not be as close as they were at Hogwarts. Ron might be a bit jealous if Harry does really well in college. But on the other hand, they could also bond over missing Hogwarts and their old adventures.
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.