Hermione's character would likely be more complex. The founders had their own quirks and beliefs. If she was under their influence from a young age, she would inherit some of those traits. For instance, if raised by Salazar Slytherin, she might have a more calculating side, while still maintaining her good nature. This combination would make her a very interesting and different character compared to the Hermione we know in the original books.
Her character would develop with a stronger sense of magical heritage. Being raised by the founders, she would be constantly surrounded by the roots of magic. This would make her more in tune with the ancient magical world. She would probably be more independent too, as she would be used to the unique ways of the founders. And her relationships with other characters would be filtered through the lens of her upbringing by the founders. For example, she might be more critical of those who don't respect the founders' original ideals.
Hermione's character would become more complex. She might start off being more in tune with the dark side, but her natural goodness could still be there. It would be like a battle within her. She could have a very different style of magic, more in line with Bellatrix's chaotic and powerful style. However, she would also face a lot of internal conflict as she realizes the true nature of the things she's been taught.
Hermione's development would be a struggle between her true self and the persona she has to adopt. She would constantly be in a moral dilemma. On one hand, she wants to stay true to her values like friendship and justice. On the other hand, she has to pretend to support the Death Eaters' cruel ways. This internal conflict could lead to her becoming more introspective. She might start to question the very nature of good and evil, and through this journey, she could emerge as a more well - rounded and wiser character, ready to fight against the darkness in a more nuanced way.
In many of these fanfictions, Hermione starts off as her typical, studious self. But as she interacts with the founders, she becomes more adaptable. She has to quickly learn to deal with the different magical practices and social norms of the founders' time. This forces her out of her comfort zone and makes her more flexible in her thinking.
His magical abilities would likely be developed in a more archaic and powerful way. The founders had different areas of expertise, so Harry could inherit a wide range of skills. Maybe he'd be a master of defensive magic like Salazar Slytherin was known for some aspects of it, and also be proficient in charms like Helga Hufflepuff was with her kind magic.
If Hermione were raised by the founders in fanfiction, she would likely be in a very small, exclusive magical environment. There would be no modern wizarding technology or the influence of the Ministry of Magic as we know it. She could be taught magic in a purer form. Her relationship with Hogwarts itself would be different too. Instead of being a student, she might see the school as more of a family home. And her views on blood purity and the different houses might be completely different, as she would have been influenced by the founders' original intentions for the houses.
His magical abilities would likely develop at a much faster rate. The founders are extremely powerful and knowledgeable. They could guide Harry to discover and master magic that most wizards his age wouldn't even know exists.
Hermione's character might develop a greater sense of adventure. Usually, she's more into academic things in the original story. But in the fellowship, she would be exposed to different cultures and terrains. This would make her more open - minded and adventurous. She could also learn to be more flexible in her thinking, as the fellowship's situations are often unpredictable.
Hermione's character would likely become more laid - back. Growing up in the Weasley household, she'd be exposed to their carefree and fun - loving nature. She might not be as uptight about rules and studies all the time. For example, she could start joining in on the twins' pranks more often.
If Hermione joins the BAU in fanfiction, her character would develop in many ways. Firstly, her knowledge base would expand as she learns about forensic science and modern - day criminal psychology. Her magical knowledge would start to blend in unique ways with her newfound skills. Emotionally, she'd become more resilient. Dealing with the horrors of some of the cases would toughen her up. Socially, she'd learn to communicate in a more direct and less academic way, which would be a big change for her. She might also start to see the world in a more grey - area way rather than the more black - and - white view she had in the wizarding world.
She likely becomes more refined in her manners. Since she's being raised as a Victorian lady, she has to adapt to the polite and proper ways of that era, which would change her outward behavior.