The fanfiction might be exploring a different theme. If the theme is about the power of the collective rather than individual leadership, having Harry not lead the DA can emphasize how the group functions and grows without his traditional leadership role. This can lead to new and exciting plot developments and character interactions within the fanfiction.
Perhaps the story is set in an alternate universe where Harry has different abilities or personality traits. For instance, he might be more of a loner or less interested in leading groups in this version, so he doesn't lead the DA.
In fanfiction, their kiss might be a way to break free from the expectations placed on them. Harry is always seen as the hero and Draco as the villain's sidekick. By kissing, they are defying those roles and expectations. It could also be a way to gain power over each other in a different sense. Instead of the usual power struggle based on magic or family name, the kiss becomes a new form of power dynamic between them.
One reason could be to explore the darker side of human nature. Even though Harry is a hero in the original series, fanfiction writers might want to see how he would be affected if he was pushed to his limits. Another reason is to create a more complex and controversial storyline. It grabs readers' attention as it goes against the normal perception of Harry.
One possible reason could be a misdirected spell during a battle. In the heat of a fight, Harry's spell could go awry and accidentally kill Malfoy. Another reason might be if Malfoy was under the control of a dark wizard and was about to do something truly terrible, and Harry had to stop him at all costs, including taking his life.
One reason could be that the fanfiction is set in a different universe where the characters' personalities are slightly altered. So, this 'new' Harry just doesn't click with Ginny in that version. For instance, if the fanfic is a darker take on the story, Harry might be more jaded and not open to a relationship with Ginny.
One reason could be a falling - out with his friends in Gryffindor. Maybe there was a misunderstanding that grew so large that he felt he couldn't stay. Another possibility is that he might be lured away by some mysterious force or character who convinces him that Gryffindor is no longer the right place for him. For example, if a new group claims to have a better way to fight Voldemort and they are from a different 'house' in this fanfiction concept.
Maybe some fanfiction authors just like to explore extremely dark and unexpected scenarios. They want to break the traditional image of the characters to create a unique and controversial story.
Perhaps in the 'harry hates dunbledore fanfiction', Dumbledore is shown as being involved in some sort of secret plot that goes against Harry's values. For example, if Dumbledore was secretly working with the dark side in the fanfiction, Harry would naturally hate him. Also, it could be that Harry has discovered some long - hidden truth about Dumbledore that completely changes his view of him, like a past misdeed that Dumbledore has covered up.
One reason could be the alteration of McGonagall's personality. If in fanfiction she is made to be overly strict or mean, Harry, who knows her real character, would dislike this new version. In the original series, McGonagall was strict but fair, and any deviation from that in fanfiction might be off - putting to Harry.
Some fanfiction writers may have a different vision for Harry Potter's character. They might see him as more of a diplomat or a healer within the wizarding world, rather than a fighter. So, they write stories that reflect this different view of the character, where he uses his wits and other skills rather than engaging in physical or magical combat.
One reason could be that Harry simply doesn't believe in divination as a useful subject. He might think it's all just superstition and not something practical for his goals at Hogwarts.