Naruto's development would be greatly enhanced. Minato was a prodigy, so he could teach Naruto advanced techniques early on. Naruto would have a role model right at home, which would boost his confidence and motivation to become a great ninja.
First of all, Naruto would have a much more stable upbringing. With Minato's presence, he'd get proper training from a young age. Minato could help Naruto master his chakra control better, which was something Naruto initially struggled with. Also, Naruto would learn about the importance of strategy in combat, as Minato was known for his strategic mind. This would make Naruto a more formidable opponent and a more respected ninja in the village. Moreover, Naruto might develop a different set of values as he would be influenced by Minato's more traditional and experienced views on ninja life.
First, Naruto would experience a new level of happiness. This would make him more positive in his outlook. He would no longer carry the same sense of loneliness that had shaped him in the past. In terms of his ninja skills, he might become more strategic, following Minato's guidance. Emotionally, he would be more balanced. He wouldn't be as quick to anger or jump into dangerous situations without thinking. His relationships with others would also change. He could be more of a role model for the younger generation in the village, inspired by his parents' example. And his sense of purpose might shift slightly. Instead of just seeking to be recognized, he would want to make his parents proud, which would add a new dimension to his character development.
The training could also make Naruto more disciplined. Minato and Kushina were both highly disciplined ninjas. Their training methods would likely instill in Naruto a sense of order and routine. He would learn to manage his time better for training, and also be more meticulous in his study of jutsu. This new - found discipline could help him in all aspects of his ninja life, from mission planning to combat.
Meeting his parents would make Naruto more confident. Knowing where he comes from and having that connection would boost his self - esteem. He would have a better understanding of his own strength, as he gets to see the great Minato and the feisty Kushina.
Naruto's character would likely become more confident. With his parents by his side, he'd have a newfound sense of security. He could learn more about his family's history and heritage directly from them. This would make him feel more connected to his roots and might even inspire him to develop new jutsus based on his family's techniques.
If Minato and Kushina disown Naruto in fanfiction, Naruto's character might develop in a very different way. He may grow up with a sense of abandonment that shapes his entire personality. He could become extremely independent but also very lonely. His idea of family would be completely distorted. He might even start to view the concept of 'home' as something he doesn't have or need. This could also make him more empathetic towards other outcasts, as he himself has been cast out by his own parents.
Emotionally, Naruto would become more confident and stable. Having his father back would fill a void in his heart. This new - found emotional strength could translate into better chakra control and more powerful jutsu. Minato could also guide Naruto in handling the power of the Nine - Tails more effectively.
It would likely have a huge impact. Naruto is already a complex character, but with Minato sealed inside him, he might gain access to some of Minato's memories or skills more directly. This could accelerate his growth as a ninja. He might also struggle with the idea of having his father so close yet so far, which could add a new layer of emotional depth to his character.
In such a fanfiction, Naruto might finally get the father - son relationship he always craved. Minato could train Naruto personally, passing on his powerful jutsu and wisdom. Naruto would grow up with a strong sense of family and might become an even more confident ninja at a younger age.
Well, if Minato and Kushina ignored Naruto, it would likely make Naruto grow up feeling extremely unloved and unwanted. He might become more withdrawn and lack the confidence he has in the original story. His drive to be recognized might turn into a desperate need for any kind of attention, not just positive, which could lead him down a much darker path in terms of his character development.
If Minato time - travels, it could change a lot. For instance, if he prevents the Nine - Tails attack, Naruto would grow up in a very different environment. He might not be the underdog he was in the original story. Also, if Minato changes things during the Uchiha clan's situation, Sasuke's story would be completely different. Konoha's political situation would also be altered. There would be less animosity between different clans perhaps.