He might be curious. Harry is always eager to learn new things. He'd probably read it with great interest to figure out what this new world of RWBY is all about.
His reaction could be complex. On one hand, he may find the RWBY fanfiction a welcome distraction from his own often - dangerous adventures. He could enjoy the unique art style and the character designs in RWBY. On the other hand, he might be a bit skeptical at first. After all, he's used to the very traditional magic system in his world. But as he reads more, he could start to appreciate the creativity and innovation in RWBY's world - building and how it could inspire new ways of thinking in his own magical community.
He'd probably be annoyed. Snape is a serious wizard and he might think fanfiction is a silly Muggle - influenced concept.
He'd probably be shocked. I mean, Dudley has always seen Harry as the odd one out in the family, and suddenly finding out he's famous in a whole different world of fanfiction would be quite a surprise.
Well, in many such fanfictions, Harry might be shocked at first. He probably feels a sense of pity for Draco too. After all, being under the Imperius Curse means Draco has no control over his actions.
Snape might be initially shocked but then try to hide his concern. He's a complex character. He could act indifferent in public but secretly start to gather information about who is behind the abuse. He might also start to keep a closer eye on Harry without the boy realizing it.
He might be surprised. The Harry Potter world has its own set of rules and characters that are very different from what Merlin is used to in his Arthurian world.
Harry Potter's reaction would depend on his mood when he finds the manga fanfiction. If he's in a relaxed state, he might be more open - minded and excited to explore this new form of storytelling. He'd notice the detailed art and different character designs. He may be a bit thrown off by the different magic concepts or lack of wands in the manga. But overall, he could grow to like it, especially if there are elements of adventure and mystery, which he loves. He might even start sharing some of the interesting parts he finds with his friends at Hogwarts, like Hermione, who would also be interested in analyzing the different narrative styles.
For Harry Potter characters, reading fanfiction could be a strange experience. Ginny might be protective of how she and Harry are portrayed in romantic fanfictions. Neville could be surprised by the confidence some fanfictions give him. In RWBY, Blake might be a bit hesitant at first but then get into the more thought - provoking fanfictions. Pyrrha, if she were still alive, would likely be flattered by the positive portrayals in fanfiction. It would open up a whole new world of how they are perceived by their fans for all of these characters.
Some RWBY characters might be in awe. Ruby, with her love for all things cool and powerful, would probably be very excited to meet Harry and learn about his magic. Weiss, on the other hand, might be a bit more reserved and initially skeptical. Blake could be curious about where he came from and what his world is like. Yang might see him as a potential ally in fights against Grimm and be eager to test his strength.
He would probably be amazed. Harry Potter comes from a world of wands and spells, but RWBY has a more modern - yet still fantastical - feel. The fanfiction might introduce him to new concepts like the Grimm, which are very different from the dark creatures he's used to. He could end up borrowing some ideas from RWBY to use in his own adventures, like the teamwork strategies the RWBY characters use.
If Harry Potter discovers the Tessaiga in fanfiction, his character could develop in many ways. He'd have to adapt to a different kind of power. This would require him to be more open - minded. He might start to question the traditional magic of his world more. Also, having such a powerful weapon could make him more confident, but also more cautious as he realizes the great responsibility that comes with it. His relationships with his friends might change too. For example, Ron might be a bit jealous at first, while Hermione would be eager to study the Tessaiga. Overall, his character would grow in complexity as he incorporates this new element into his life.