In the fanfiction world, if Snape finds Harry cutting, he might be initially shocked and angry. He could see it as a sign of Harry's inner turmoil. Snape, despite his complex relationship with Harry, might feel a sense of responsibility. He might immediately take steps to stop Harry from further harming himself, perhaps using his magic to heal the cuts. And then he would likely question Harry about why he was doing such a thing, trying to get to the root of the problem.
Well, Snape has always had a complex relationship with Harry. When he finds Harry cutting himself in this fanfiction, he might be angry at first, thinking it's a sign of weakness. But then, as he realizes the depth of Harry's pain, he could soften. He might start to see Harry more as a troubled child rather than just James Potter's son. Snape could use his knowledge of potions to create something to heal the physical wounds and also try to offer some form of emotional support, albeit in his own gruff way.
Snape's view of Harry would likely become more complex. He might see Harry as more vulnerable than he previously thought. His initial disdain might turn into a sort of begrudging concern. He would realize that Harry is dealing with deeper issues than just being the 'Boy Who Lived'.
In a scenario where Draco finds Harry cutting fanfiction, it could potentially change the dynamic between them. Fanfiction often involves a lot of creativity and personal investment from the writer or editor (in this case, Harry). Draco might not understand this at first. But if he takes a moment to think about it, he could realize that Harry has a passion for this fictional world in a different way. It could be a moment of growth for Draco, where he starts to see Harry not just as an enemy but as a person with diverse interests. Or, it could go the other way and just be another source of conflict between them, with Draco making fun of Harry's hobby and Harry getting defensive.
In this kind of fanfiction scenario, Snape might initially be conflicted. On one hand, he has his long - standing dislike for James Potter, Harry's father. But on the other, his sense of duty as a Hogwarts professor could kick in. He might reluctantly start to heal Harry, all the while muttering under his breath about how much trouble Harry always seems to get into, just like his father. Then, as he heals Harry, he might start to see some of Lily, Harry's mother, in him and soften a bit.
He would probably be in shock. Snape has spent so much time around Harry in one way or another throughout his years at Hogwarts. His immediate reaction could be disbelief. He might stand there frozen for a moment, unable to process what he's seeing. Then, the full weight of the situation would hit him, and he could break down in a rare display of raw emotion.
He could be secretly worried. Snape might use his knowledge of potions and dark magic to try and find a cure or at least a way to stop the bleeding. He may also be conflicted, as his past relationship with Harry and his loyalty to different sides in the wizarding world play a role in how much he wants to help Harry.
His reaction could be one of confusion. Fanfiction isn't really part of the pure - blood wizarding world he's used to. So seeing Harry doing something so different like cutting fanfiction would leave him scratching his head, not really understanding what Harry is up to or why he's doing it.