Snape could also punish Draco by deducting house points. Since Draco is in Slytherin, losing house points is a big blow to his pride and to the whole Slytherin house. This would make Draco the target of his housemates' ire, adding to the punishment's severity.
Well, Draco could be punished by Snape for being disrespectful in Potions class. Snape might order Draco to write a long essay on the history and significance of a particular potion. This would not only be a humiliation for Draco but also a chance for him to gain more knowledge about potions. And it would add an interesting dynamic to their relationship as Draco would be resentful at first but might end up learning something valuable.
Yes, there are likely many fanfictions that involve Snape, Draco, and Potions class in a non - adult way. For example, there could be stories about Draco struggling in Potions class and Snape being his strict but fair teacher. Maybe Draco discovers a new potion under Snape's guidance and it helps him in some way, like impressing his friends or getting better grades.
Draco could be made to stand in the corner of the classroom during the entire potions class as a punishment. This would be a public humiliation for him, especially in front of his peers. It would also show Snape's no - nonsense attitude towards misbehavior.
One reason could be Draco's arrogance. If Draco shows too much pride and disrespect in class, Snape, who values discipline, would not tolerate it. For example, if Draco mocks other students' potions attempts, Snape might punish him.
One possible plot could be that Draco is having trouble with a particular potion in class. Snape, seeing his struggle, decides to give him some extra help. As they work together, Draco begins to understand Snape better and realizes that there is more to him than just a strict teacher. This could lead to a friendship or at least a mutual respect between them.
Maybe Harry has had some secret interactions with Snape that the readers haven't known about yet. These interactions could have made Harry feel a father - like connection to Snape, and in the heat of the moment in potions class, he just blurts it out.
One possible reaction could be shock from the other students. They know Snape as a strict and often unfriendly professor, and Harry calling him 'dad' would be completely unexpected.
The location of Draco's potions shop would also be an interesting point. If it's in a busy wizarding area like Diagon Alley, he'd have a lot of competition but also a high volume of potential customers. However, if it's in a more secluded place, it could attract those who are looking for a more exclusive and private shopping experience for their potion needs.
Power is another theme. Potions can be a source of power in these fanfictions. Draco might try to gain an edge over others by creating or using powerful potions. This could lead to conflicts with other characters as they vie for power too.