One possible plot could be that Naruto's parents being mute adds a new layer of secrecy. They might have a unique way of communicating with Naruto through signs or special ninjutsu. For example, they could use a form of chakra - based sign language that only the Uzumaki family knows. This would make Naruto's relationship with them different from the canon, as he has to learn this new form of communication. And with them alive, they could be protecting Naruto from the shadows, secretly thwarting the Akatsuki's plans against him without his knowledge at first.
The plot could start with Naruto being born blind. His parents, Minato and Kushina, are determined to raise him as a strong ninja. They might focus on training his other senses from a young age. As Naruto grows, he faces challenges in the ninja academy due to his blindness but overcomes them with the help of his parents and his own determination. He could develop unique fighting styles that rely on his hearing, smell, and touch. For example, he might be able to sense an opponent's chakra flow better than others, which gives him an edge in battles.
His character development would be different in that he'd have a stronger sense of family. Since his parents are alive, he has a more complete family unit. Their muteness would make him more protective of them. He'd learn patience earlier on, as communicating with mute parents can be a slow process at times. This new - found patience would spill over into his ninja training, allowing him to master difficult techniques more easily. He might also be less of a show - off, as his focus would be more on his family's well - being rather than seeking attention from the village.
The story would be very different. Naruto's parents being alive would mean he has a support system from the start. His father could pass on his jutsu and wisdom more directly. Naruto might not have the same drive to become Hokage in the same way, as he wouldn't be seeking that family - like recognition from the village. His mother's presence would also add an element of warmth and stability to his life. And perhaps he would be more of a prodigy with both his parents' guidance, changing the power dynamics in the ninja world.
The plot could start with Naruto growing up in a loving family environment. His parents, Minato and Kushina, are alive and they are aware of the Nine - Tailed Fox inside Naruto. They train him from a young age to control the fox's power. However, the village might still be a bit wary of Naruto because of the fox. This could lead to Naruto feeling a sense of isolation from the villagers despite his family's love. As he grows, he might start to resent the village's attitude and begin to show darker tendencies as he tries to prove himself in a different way than in the original story.
His relationship with his parents would be loving. Minato would be a strict but fair father, teaching Naruto about ninjutsu and the responsibilities of being a shinobi. Kushina would be the warm, affectionate mother, always there to comfort and encourage Naruto. They would support his dreams and be proud of his every achievement.
One great fanfic could be 'The New Beginning for Dark Naruto'. In this, Naruto's parents being alive changes his whole outlook. Instead of the lonely and somewhat bitter Naruto we know, he grows up with the love and support of his parents. His father, Minato, trains him personally, and Kushina is always there to give him emotional support. This alters the course of his journey in a positive way, making him less likely to turn to the 'dark' side as he has a strong family unit.
One possible plotline could be that Minato and Kushina raise Naruto as a normal child in Konoha. Naruto would grow up with their love and guidance, which would significantly change his personality. He might be more confident from the start and not have that intense need to prove himself. Also, Minato could train Naruto personally, and Naruto might inherit his father's skills much earlier, leading to different adventures and battles in the ninja world.
In this fanfiction, Naruto finds himself in a parallel universe where his parents are not only alive but also play a significant role in his life. There are new adventures and challenges as he navigates this changed reality.
The plot could be centered around fem Naruto growing up with her parents' love. She might not face the same level of discrimination as in the original story. For example, her father Minato could introduce her to important people in the village early on. Her mother Kushina could teach her how to handle her long hair in combat, which could be a unique aspect of fem Naruto. They could also travel together as a family to other villages for diplomatic missions, which would be a different experience compared to Naruto's lonely journey in the original series.
In most fanfics, the status of a character's parents can be quite variable. For this 'Harty' in the Hermione fanfic, without having read it, it's difficult to say. It could be that the author decides to keep them alive to have a support system for Harty or perhaps to create a contrast with Hermione's own family situation. If the fanfic is about Harty's adventures in the wizarding world similar to Hermione, having living parents could mean they are either muggles who need to be protected from the wizarding threats or they could be wizards themselves and be part of Harty's journey.