He'd likely be less jaded. At Hogwarts, he faced a lot of hardships like being bullied by the Marauders. Without that, he might be more open and less defensive. His social skills could be better as he wouldn't have developed the same level of distrust towards others.
His knowledge of magic would be different. Hogwarts has a set curriculum, but without it, he could focus more on areas he's truly interested in from the start. For example, he might be even more of an expert in potion - making earlier on, as he wouldn't have to spend time on other Hogwarts - required subjects. Also, his view of the wizarding world might be more positive as he wouldn't be exposed to the same in - house rivalries and politics at Hogwarts.
Snape's character would lack the strong connection to Hogwarts that defined him in the original story. Without the influence of Hogwarts' professors and the house system, his sense of identity would be different. He may not have the same internal conflict between his loyalty to the Dark Lord and his love for Lily, as the events that led to this conflict at Hogwarts would not have occurred. Instead, he could form different loyalties based on his new experiences outside of Hogwarts, perhaps to a different magical community or a group of independent wizards.
One possibility could be that Snape grows up in a different magical environment, perhaps in a small, hidden magical community that has its own unique way of teaching magic. He might develop his skills in potion - making and the Dark Arts in a more self - taught or community - guided way. Without the influence of Hogwarts, his relationships would be very different. He may not have the same intense rivalries or unrequited love for Lily Potter.
One way could be through a magical oath. In some fanfictions, Snape might have sworn an oath to protect Hogwarts at all costs, which binds him to the school. Another way is through his love for Lily Potter. Since Hogwarts was a place that was important to her too, his emotional connection to her could translate into a binding to the school. Also, he could be bound by the magic of the place itself. Hogwarts is full of ancient magic, and it might recognize Snape's loyalty and determination, thus binding him to it.
Snape would likely become more confident in his place at Hogwarts. As the heir, he has a new - found sense of belonging that could soften his harsh exterior. He might be more open to helping students, especially those who show an interest in the history of Hogwarts.
Yes, he is. Fanfiction often delves deeper into the idea of Severus Snape's connection to Hogwarts. Since he dedicated his life to the school in different ways in the original story, fanfic creators expand on this. They might write about him being magically bound to Hogwarts, where he can't stray too far from the castle grounds. This could be because of a spell he cast himself, or as a result of some ancient magic related to his role at the school.
Well, it would be a lot less antagonistic. Without the whole Death Eater past and the spying for Dumbledore while seeming to be on Voldemort's side, Snape wouldn't have that built - up resentment towards Harry. He might actually see Harry as a talented young wizard worthy of proper mentorship, instead of constantly being so harsh on him.
Hermione and Ron might not become friends in the same way. Since Harry was the catalyst for their friendship at Hogwarts, without him there, they might not cross paths as easily. Hermione could be more focused on her studies alone in a different school, and Ron might be stuck in his family's shadow without Harry to bring out his better qualities.
The Hogwarts staff would also be affected. There could be a shift in power dynamics. Maybe some characters who were in his shadow get a chance to shine, while others might struggle to fill the role he played in maintaining a certain level of order and mystery in the school. For example, his departure could make it easier for some to implement new teaching methods, but at the same time, it could also expose weaknesses in the school's security as he was very knowledgeable about the Dark Arts.
In these fanfictions, Snape often becomes more self - reflective. He starts to realize the full extent of his actions and how they've affected others. For example, he might come to see how his treatment of Harry was unfair. He also becomes more open about his emotions, which was something he always hid before.
In fanfiction, one reason could be his desire for a fresh start away from the memories at Hogwarts. Maybe he feels he has done all he can there and wants to explore new magical knowledge elsewhere.
In some fanfictions, Severus Snape's character develops by becoming more open - minded towards Muggles. He might start off with his typical wizarding - world prejudices, but through various interactions, he begins to see Muggles in a new light. For example, he could meet a Muggle scientist whose thirst for knowledge reminds him of his own love for potions, and this changes his view.