The story would be wild. Naruto would have a different family dynamic. With Tsunade as his mother, he might have more access to medical ninjutsu knowledge from a young age. Minato's speed and intelligence combined with Tsunade's gambling habit could make Naruto a more unpredictable character. Also, the way the village views him could be different. Since Tsunade is from the Senju clan, Naruto would have a stronger connection to the village's founding family, which could lead to different political situations within Konoha.
Naruto would receive very diverse training. From Minato, he would learn about space - time ninjutsu. Minato was known for his Flying Thunder God Technique, and Naruto could inherit the knowledge to develop his own version. As for Tsunade, she would train him in close - combat skills. Naruto would learn how to throw powerful punches and use his chakra in a more brute - force way. Also, he'd learn about the importance of chakra control in medical ninjutsu from her.
One possible plot for such a fanfiction is that the squirrel mask has been stolen by an enemy. Minato's spirit appears to Naruto and tells him about the importance of the mask. Tsunade, as the Hokage, organizes a mission to retrieve it. Naruto, with his determination and the help of his friends, embarks on this mission. Along the way, he discovers new abilities within himself that are somehow related to the mask and his father Minato's legacy.
It's very likely that there is. Fanfiction writers are known for their creativity and ability to think outside the box. By making Naruto Tsunade's son, they can introduce new plot elements. For example, Tsunade could pass on her medical ninjutsu skills to Naruto at an earlier age. Also, Naruto might grow up with a different understanding of the village's politics and power structures, as Tsunade is one of the village's leaders. This would change the way he interacts with other characters and the overall story arc.
Their relationships could be explored through flashbacks. For instance, we could see how Minato interacted with Tsunade when he was alive. Maybe he sought her advice on certain matters, or they had some joint missions. This would give us insights into their respect for each other.
The plot could be that the squirrel mask is a key to an ancient power. Minato knew about it but passed away before he could fully explore it. Naruto stumbles upon the mask and Tsunade warns him of the potential dangers. However, Naruto's curiosity gets the better of him. He starts to have visions of Minato, who gives him clues on how to unlock the mask's power. Eventually, Naruto uses this power to protect the village from a new threat.
Yes, there are likely some 'Naruto Son of Evil Minato' fanfictions out there. Fanfiction websites are full of various creative takes on the Naruto universe. You can start by checking popular fanfiction platforms like FanFiction.net or Archive of Our Own. Just search for the specific title or relevant keywords to find ones that match this concept.
In a fanfiction where Naruto is Tsunade's son, his training regime would be very different. Tsunade would likely push him hard in both physical and medical training. Naruto might have access to resources that he didn't have in the original story. For example, he could study ancient Senju clan jutsu from a young age. His appearance might also be different, perhaps having some of Tsunade's features. His hair color or eye shape could be influenced by her genetics. Moreover, the village's perception of him would change. People would see him as not just the Jinchuriki of the Nine - Tails, but also as Tsunade's heir, which could bring both advantages and disadvantages in terms of how they interact with him.
Sakura could be a significant character. In the context of Naruto being Minato's son, her relationship with Naruto might change. She could be more in awe of him at first or have different expectations. Also, Sasuke is likely to be a main character. His rivalry with Naruto could take on new dimensions as Naruto has the added legacy of being Minato's son. Their battles and interactions might be more intense and influenced by Naruto's heritage.
The relationship can be developed by having Minato appear in Naruto's memories more vividly. For example, Naruto could start having flashbacks of Minato's training sessions or family moments that he didn't know about before. This would make Naruto feel closer to his father.