In fanfiction, it could be that the Sexy Jutsu has a hidden power. Maybe it emits a certain type of chakra wave that affects the Third Hokage's senses. Since he's an older ninja, his senses might not be as sharp when it comes to dealing with such an unorthodox jutsu. So, Naruto's Sexy Jutsu can disrupt his balance and make him vulnerable to Naruto's attacks.
Perhaps in the fanfiction world, the Sexy Jutsu is not just a simple distraction. It could be that Naruto has trained to use it in a more strategic way against the Third Hokage. For example, he might use it to draw the Third Hokage into a specific area where Naruto has set up a trap. Or he could use it to make the Third Hokage overextend himself in an attack, leaving him open for a counterattack by Naruto.
Well, it could be that the Sexy Jutsu has some sort of psychological effect on the Third Hokage. Maybe it reminds him of someone or something from his past that makes him hesitate. And in that moment of hesitation, Naruto is able to use the distraction to his advantage and defeat the Third Hokage. Also, Naruto might be able to use the jutsu in combination with other moves in the fanfiction. For instance, while the Third Hokage is distracted by the Sexy Jutsu, Naruto quickly follows up with a Rasengan.
One scenario could be during a large - scale battle. Naruto sees his friends getting injured left and right. He uses his medical jutsu to quickly heal their wounds and get them back into the fight. Another could be when he's on a solo mission in a remote area and he himself gets injured. His medical jutsu allows him to treat himself and continue the mission.
In a fanfiction battle, perhaps the fight begins with Naruto trying to talk to Goku first, to understand his intentions. Goku, not really understanding Naruto's world, just wants to test his strength. So he attacks without warning. Naruto quickly enters his Nine - Tails Chakra Mode to defend himself. The fight then escalates as Goku powers up further. The two exchange blows, with Goku's punches creating shockwaves and Naruto's attacks leaving marks on the ground. As the fight goes on, they both start to respect each other's power and skills, and it becomes more of a battle of wits as well as strength.
Another scenario could involve Minato teaching Naruto some new jutsu. Since Minato was a very powerful ninja, he could pass on some of his secret techniques to Naruto. This would not only strengthen Naruto further but also be a great bonding moment between father and son. They could also talk about the past, like how Minato sacrificed himself for the village and Naruto could share his own struggles growing up without his father.
Maybe some would try to use it as a way to show female empowerment in the Naruto world, but it's a very strange and inappropriate way to do so. The Naruto series has its own ways of showing strong female characters without having to rely on such fanfic themes. For example, characters like Tsunade are shown as powerful leaders and ninjas in the official story.
In fanfiction, it could be that the Third Hokage favored certain ninja over Naruto for no good reason. For instance, giving more resources and opportunities to others while Naruto had to struggle on his own. This unfair treatment might be a reason for Naruto's hatred.
He could use it for stealth. For example, he could create paper clones that are much quieter and less detectable than his normal clones. These paper clones could be used to spy on enemies or gather information without being noticed easily.
In some fanfictions, Naruto might face unique challenges right after becoming Hokage. For example, he could have to deal with a new, powerful enemy that targets the village because of his new position.
The Third Hokage's training might have introduced Naruto to more advanced jutsus. For example, he could have taught Naruto better control over his chakra, which is crucial for performing ninjutsu. This would allow Naruto to use his Rasengan more effectively and with less strain.
Naruto might improve the Sexy Jutsu by using chakra in a more creative way. He could use it to create an illusion of a more alluring environment around him during the jutsu, like a beautiful garden or a luxurious room. This would enhance the overall effect of the jutsu.