In fanfiction, Draco could refuse the Dark Mark because of his friendship or love for someone who opposes the Dark side. For example, if he has developed a close bond with a non - Slytherin or someone who is actively fighting against Voldemort. This relationship might make him question his family's loyalty to the Dark Lord and ultimately refuse the mark.
One reason could be his underlying sense of good. Despite his family's alignment with the Dark side, Draco might have a moral compass that rebels against the evil associated with the Dark Mark. He may have seen the destruction and pain it causes and doesn't want to be part of it.
Another aspect could be Draco's own self - preservation in a different way. He might realize that getting the Dark Mark means being completely at Voldemort's mercy. He could be afraid of losing his own identity and free will. He may prefer to find his own path, rather than being a mere puppet of the Dark Lord, and thus refuses the Dark Mark.
One motivation could be love. Maybe he has fallen in love with a non - Death Eater, like a Gryffindor girl, and doesn't want to be part of the dark side. Another could be fear of the consequences. He might have seen what the Dark Mark has done to others, like how it controls them, and he doesn't want that for himself.
In fanfiction, Draco's connection to the Dark Mark often serves as a source of internal conflict. Writers explore how he grapples with the mark's implications and his family's ties to the Dark side. It can be a powerful device to show his character development.
One possible reason could be that they have their own personal goals that conflict with what Beacon offers. For example, they might want to pursue a different type of combat training or they have a family matter to attend to first. Maybe they've heard rumors about Beacon that make them hesitant, like strict rules that would limit their freedom.
The Death Eaters would probably see him as a traitor. They might try to hunt him down and punish him severely, perhaps even kill him. He would constantly be in danger and have to be on the run.
In some fanfictions, Draco's Dark Mark is shown as a constant source of pain, both physical and emotional. It's a reminder of his family's allegiance and his own mistakes.
Well, it might be because of a magical accident. Maybe he was experimenting with some dark magic that backfired on him. Or perhaps he was using a powerful spell without proper training. Also, in fanfiction, it could be related to his health. He could have an underlying medical condition that hasn't been discovered yet, like a weak heart or some sort of magical malady that causes him to faint when he overexerts himself magically.
One reason could be that he's tired of being used by the gods. In many of his previous adventures, Percy has been sent on dangerous quests for the gods' purposes. He might feel that they take advantage of his skills and loyalty. For example, he was constantly in life - threatening situations just to retrieve some item or solve a problem for the Olympians. Another reason could be a personal grudge. Maybe a god has wronged him or someone he cares about in the fanfic, and he decides he's not going to play their games anymore.
One possible scenario could be that Draco realizes the true evil of Voldemort and the Dark Mark represents everything he doesn't want to be. He might see Hermione's strength in the face of the Dark side and be inspired by her. Maybe he secretly helps the Order of the Phoenix instead of joining the Death Eaters, all while falling in love with Hermione.
One plot idea could be that Draco discovers Hermione has a connection to the Dark Mark against her will. Maybe she was cursed with it during an encounter with Death Eaters. Draco, having some knowledge of the Dark Arts, decides to help her get rid of it secretly, which would lead to many tense and secretive meetings between them as they try to figure out how to break the curse without getting caught by either side.
Well, it might be due to lack of interest from the writers over time. As the fandom evolves, new characters or storylines might become more popular, causing writers to shift their focus away from Draco Malfoy fanfiction. Also, some fanfiction might disappear if the authors themselves decide to remove it for personal reasons, like they no longer want to be associated with that work or they have rewritten it into something else.