Well, in some fanfictions, Snape might be protective of Harry because he sees a lot of Lily in Harry. Lily was Snape's long - loved friend, and Harry is her son. So that connection makes Snape feel an urge to protect Harry from harm, despite their often - rocky relationship in the original story.
Snape might be protective of Draco in fanfiction because in the original series, Snape has a certain loyalty to the Slytherin house. Draco is a young Slytherin, and Snape could see a bit of his own past self in Draco. Also, Snape was tasked with some difficult and dangerous missions by Voldemort. He might want to protect Draco from getting too deeply involved in Voldemort's dark plans to spare the boy from a similar fate as his own.
One reason could be that he sees her intelligence and potential. Snape has always had a soft spot for those who are brilliant in potions and magic, and Hermione is top - notch in that regard. He might also recognize her determination and how she's often an outcast among her peers in a way, just like he was. So, he feels a sense of kinship and thus protectiveness towards her.
One reason could be the complex relationship they have in the original series. Fanfic authors often expand on that. Maybe Draco realizes Harry's importance in the fight against the real evil, like Voldemort, and so he becomes protective. It also adds an interesting dynamic to the story, making it more appealing to readers who love exploring different character relationships.
In fanfiction, Harry might be protective of Teddy because Teddy is Remus and Tonks' son. Harry has a strong sense of loyalty and he may feel a great responsibility towards Teddy as he lost his parents. Also, Harry has his own experience of growing up without parents, so he doesn't want Teddy to go through any hardships alone.
In fanfiction, Harry might be protective of Hermione because of their deep friendship. They've been through so many dangerous adventures together in the original series. Harry values Hermione's intelligence and loyalty, and he doesn't want to see her get hurt. It could also be that in some fanfiction, there are new threats or situations that make him feel the need to be extra protective.
One scenario is when Harry is in danger during a duel or a battle. Snape might step in to shield Harry from a dark spell. Another could be when Harry is being bullied by other students or facing unfair treatment from the faculty. Snape, in these fanfictions, uses his position to protect Harry. For example, he might give Harry private lessons to improve his skills and keep him out of harm's way.
In fanfiction, Snape's possessiveness of Harry can stem from multiple factors. Snape has a deep - seated emotional turmoil within him. His feelings towards Harry might be a mixture of his unrequited love for Lily, Harry's mother, and his own self - imposed mission to safeguard Harry. He may also be possessive because Harry is constantly in danger, and Snape feels that only he can truly protect Harry, which in the world of fanfiction is often exaggerated and translated into possessive behavior.
One reason could be Snape's teaching style. He is often portrayed as a strict and unforgiving teacher in fanfiction as well as in the books. Harry, being a student, has to face this difficult side of Snape. Moreover, Snape's own internal struggles and his past traumas can spill over into his interactions with Harry in fanfiction, making it hard for Harry to understand him and get along with him.
Maybe Blaise sees something special in Harry. In fanfiction, it could be that Blaise admires Harry's courage or his unique abilities. He might feel a sense of kinship with Harry despite their differences.
Maybe Bill is a huge Harry Potter fan and he loves the creativity in fanfiction. So he wants to protect it.