Yes, there probably is. In the Naruto fandom, there are various fanfiction themes, and the 'narusaku' (Naruto - Sakura relationship) with Naruto hating Sakura can be an exploration of an alternative take on their relationship. Some fans might write this to explore what - if scenarios or to express their own views on the characters' dynamics that deviate from the canon.
Well, in some Narusaku fanfictions, Sakura might hurt Naruto emotionally by choosing Sasuke over him repeatedly. This can make Naruto feel rejected and unloved, causing him pain.
In some narusaku fanfiction, Naruto might avoid Sakura because the story could be exploring different relationship dynamics. Maybe the author wants to create a more complex plot where Naruto has his own reasons, like he's focused on his ninja goals and doesn't want any distractions from Sakura at that moment.
One common element could be a significant event that causes Naruto to change his feelings towards Sakura. For example, he might discover something she did in the past that he can't forgive. Another element might be the exploration of how Sakura reacts to Naruto's hatred, which could lead to her character growth or downfall.
One possible reason could be that Naruto has his own goals and missions that he is so focused on that he tries to avoid distractions, and Sakura might be seen as a distraction in some sense. For example, he is always aiming to become Hokage and improve his ninja skills, and any personal relationship drama could get in the way of that.
Sometimes, in fanfiction, Sakura might use her medical skills against Naruto in a negative way. For example, if she withholds treatment or gives him a wrong diagnosis out of some conflicted feelings towards him. This is quite cruel and can cause both physical and emotional harm to Naruto.
It's appealing because it plays on the strong bond between Naruto and Sakura. Fans love to see Naruto in the role of a hero, especially when it comes to saving Sakura. It also adds more depth to their relationship.
There's also 'Naruto's Swift Rescue'. Here, Naruto senses Sakura is in danger through their deep emotional connection. He races against time, using his ninja skills to overcome various obstacles and finally saves Sakura from a group of rogue ninjas who had kidnapped her.
One reason could be that Naruto is afraid of getting hurt. If he has feelings for Sakura but isn't sure of her feelings towards him, he might choose to avoid her to protect himself. It's a common theme in many stories.
One great 'narusaku sakura loves naruto fanfiction' is 'A New Beginning' where Sakura finally confesses her long - hidden love for Naruto. It shows their journey from being friends to something more in a very heartwarming way.