Well, it could be about Naruto having all of Kakashi's skills from the start. He might use Kakashi's sharingan in unique ways, like in battles against stronger opponents much earlier in the story. He could also inherit Kakashi's laid - back attitude while still having Naruto's determination.
Well, one similarity could be their determination. In the fanfic, like in the original series, both Naruto and Kakashi are very determined. Naruto is always striving to become Hokage and Kakashi has his own goals and missions he's dedicated to. They also might share similar combat styles in the fanfic, perhaps Naruto starts to adopt some of Kakashi's strategic thinking during battles.
His personality would be a blend. He would have Kakashi's calmness in high - pressure situations. But at the same time, Naruto's exuberance would peek through at times. For instance, when he's around his friends or when he's really passionate about something. He would be more introverted in general but would still show his Naruto - like enthusiasm on certain occasions.
Another reason could be related to Kakashi's past actions. If there are some secrets or things Kakashi did in the past that come to light and Naruto doesn't like them, he could snap at Kakashi. Naruto has a strong sense of justice and loyalty, so if he feels betrayed or misled by Kakashi, his reaction could be to snap.
One possible reason could be that Kakashi is preoccupied with other important matters in the village. Maybe he has some top - secret missions or tasks assigned by the Hokage that demand his full attention, leaving him with little time to focus on Naruto.
One reason could be that he sees Naruto as a younger version of himself in some ways. Both have had their share of loneliness and challenges growing up. Kakashi may want to prevent Naruto from going through the same pain he did. Another reason is Naruto's importance to the village. As the jinchuriki of the Nine - Tails, Naruto is a key asset. Kakashi, being a loyal ninja, wants to protect the village's future which is tied to Naruto.
One memorable moment could be when Kakashi finally reveals a powerful new jutsu to Naruto that completely changes the way he approaches battles. Another might be when Kakashi saves Naruto from a near - fatal attack during a tough training session.
One possible reason could be that Naruto might feel Kakashi is too strict with his training. Maybe Kakashi's methods are too harsh for Naruto, making him frustrated and gradually developing dislike.
One possible reason could be Kakashi's reputation as a strict and powerful teacher. Naruto might be in awe of his skills and fear making mistakes in front of him.
One similarity is their natural talent for combat. Both are likely to be very skilled in using various ninja techniques. Kakashi was known for his Sharingan and his ability to use a wide range of jutsus, and Naruto in this fanfiction would also have a natural aptitude for combat skills.