Naruto and Lemon's relationship could start off as a typical sibling one, with some bickering but also deep love. As for Kushina, Naruto would have a great sense of respect and love for his mother. Lemon, on the other hand, might feel a bit left out at first since she didn't get to know Kushina as Naruto did. But as the story progresses, through memories and stories about Kushina, Lemon would develop a strong connection to her too. They would all support each other in battles and in life in general.
The relationship between Naruto and Lemon could be developed through shared experiences. They both have the Uzumaki blood, so they might have some similar powers or challenges. With Kushina, Naruto already has a mother - son bond. But Lemon could discover that she has a special connection to Kushina's spirit. For example, Kushina's chakra could guide Lemon in difficult times. This would bring Lemon closer to Naruto as they both share this connection to their mother. And they would become a stronger family unit, relying on each other's strengths.
In fanfiction, their relationships can be developed through shared missions. For example, they could be sent on a dangerous mission where they have to rely on each other. Naruto's optimism could inspire Sakura, and Kushina's maternal nature could comfort both of them. This would strengthen their bonds as comrades.
His relationship with Sasuke could change. Since Kushina was very protective, Naruto might be even more over - protective of Sasuke. He would not let Sasuke take any unnecessary risks and would always be there to support him, which could either annoy Sasuke or make him appreciate Naruto more.
I'm not sure there is an official 'Sister Lemon' in the Naruto canon. But in a fanfiction, perhaps this 'Sister Lemon' could be an original character. Maybe she could be a long - lost sister who has some unique powers related to the Uzumaki clan, like Kushina. She could play a role in Naruto's growth and his understanding of his family's past.
If Kushina was alive in a fanfiction, Naruto's relationship with his father, Minato, would be different. They could all be a proper family, and Naruto would grow up with both his parents. His relationship with his friends might also change as he would have a more stable home life. For example, he might be more confident around Sakura and Sasuke, and his bond with them could be less about seeking acceptance due to his lack of family.
One possible plot could be that Lemon, Naruto's sister, discovers some hidden jutsu that Kushina once knew. Naruto and Lemon then train together to master it. Along the way, they face challenges like other ninja clans trying to stop them as they fear the power of this new - found jutsu. And in the end, they use the jutsu to protect their village and honor Kushina's memory.
She could also be developed in relation to the Dark Puppeteer's backstory. Maybe there was a past encounter between them that was never fully resolved. This would add depth to her character as Naruto uncovers more about her past and how it relates to the current threat.
Naruto might initially be in shock. He has always counted on Kushina's love, and this sudden abandonment would be a huge blow. He could become withdrawn and quiet, not understanding why his mother would do such a thing.
Communication is key. Naruto and his sister could sit down and have an honest conversation about what's bothering him. They could clear up any misunderstandings that led to his hatred.
His relationship with Minato would be very different. Instead of a father - son bond, it would be more of a brother - in - law type of relationship. Minato might see Naruto as an equal in a different way, and they could collaborate more as peers. Also, Naruto's relationship with Sasuke would have a new angle. Sasuke might be more envious of Naruto's strong Uzumaki bloodline, which could intensify their rivalry.
In such a fanfiction, the relationship between Naruto and Kushina would be one of mother - son love and mutual respect. Kushina would be protective of Naruto and proud of the man he has become. Naruto would look up to Kushina and value her wisdom. With Hinata, Naruto's relationship would be that of a loving couple. Hinata would support Naruto in all his endeavors. When it comes to Kushina and Hinata, Kushina would likely see Hinata as a worthy partner for Naruto and Hinata would respect Kushina for being Naruto's mother and a strong kunoichi.