Naruto's patience runs thin. He doesn't tolerate fools or those who oppose him without good reason. He has become a badass, and he expects others to either get on board or stay out of his way. His loyalty also becomes more conditional. He's still loyal to those who have proven themselves worthy, but he won't blindly follow the village or its leaders like he did before.
He becomes more aloof. Instead of being the overly friendly Naruto, he might be more reserved. For example, he won't immediately trust people like he used to.
His confidence might increase even more. Naruto was always confident as a ninja, but as a sorcerer, he has new powers at his disposal. He would feel even more capable of taking on challenges. For example, if he faces a powerful sorcerer enemy, instead of being intimidated, he would be eager to test his new abilities.
He might become more patient. As a medic, he has to be careful and take his time with patients, which is different from his impulsive fighting style.
Naruto's personality might become more reserved in some ways. As Hokage, he has to represent the village in a more solemn and diplomatic manner. He can't be as carefree as he used to be. For example, in international meetings, he has to think carefully about his words and actions.
Naruto's usually impulsive personality might become more calculating as a puppet master. He would need to think ahead when using puppets in battle, so he'd be less likely to rush into things.
His personality might become more cautious. Since he has a greater responsibility as a guardian, he can't be as reckless as he was sometimes in the original Naruto series.
His personality might become more withdrawn. As a lich, Naruto could be feared by others, and this might make him more hesitant to interact with people. He was always so outgoing before, but now he might keep to himself more.
Naruto's personality would change in several ways. He would become more aggressive, which is a big part of Wolverine's character. He might be quicker to anger and less patient. However, he would also have a sense of loyalty like Wolverine. His old self - sacrificing nature would still be there but it would be expressed in a more Wolverine - like way, being more protective and ready to fight for those he cares about without hesitation.
Naruto may also become more solitary. Sparda often fought alone, and Naruto, influenced by this, might start to distance himself from his friends at first. However, he would still have that underlying loyalty and would eventually find a way to balance his new - found independence with his relationships.
His confidence would skyrocket. Gilgamesh is extremely self - assured, and Naruto, if influenced by him, would become even more so. He'd be more outspoken about his own abilities and less likely to doubt himself in tough situations.
His once optimistic and determined personality would turn cynical. Instead of seeing the good in people, he would suspect everyone. For example, he would no longer trust his friends easily. His sense of humor would disappear, replaced by a cold and sarcastic attitude. He would become more secretive and withdrawn, not sharing his thoughts and feelings like he used to.