For entertainment. Just like we enjoy reading different stories, they might find the fan - created stories about their own world amusing.
To see how others view them. The characters might be curious about how the fanfic writers portray them, whether it's in a positive or negative light, and what kind of situations the writers put them in.
The Stargate characters are used to dealing with advanced technology and alien cultures. When they meet the Harry Potter characters, they might be initially confused by magic. For example, Jack O'Neill might be both amused and intrigued by the spells the wizards cast. Meanwhile, Harry Potter and his friends would be curious about the Stargate technology and the different worlds it can access.
They might analyze the plotlines. For example, they could be looking at how the author has deviated from the original Stargate series in the fanfic. They might also be looking for interesting character developments that are unique to the fanfic.
In a Harry Potter part of Stargate SG1 fanfic, the interaction would be a mix of awe and learning. Harry Potter, with his natural leadership and courage, would inspire the SG1 team. Hermione's vast knowledge would be a valuable asset when it comes to deciphering any new languages or technologies they encounter. Ron's loyalty and sense of humor would help ease the tension during their adventures. The SG1 characters, on the other hand, would introduce the concept of different planets and galaxies to the wizards. They would share their stories of exploration and discovery. There could be moments of confusion, like when Harry tries to use magic on a piece of technology and it malfunctions, or when the SG1 team is startled by a sudden appearance of a magical creature. But through these interactions, they would grow to respect and rely on each other.
The Stargate Atlantis characters are used to dealing with advanced technology and alien species. They might initially be very curious about the RWBY characters' abilities that seem almost like magic in comparison. For example, Sheppard might be intrigued by Yang's ability to absorb and release energy with her punches.
I really like 'The Lost City Revisited'. This fanfic takes the concept of the lost city and expands on it in a very creative way. It not only has exciting action scenes but also explores the relationships between the characters in depth. For example, the way it portrays the friendship between Daniel and Jack is really heart - warming.
The magic in Harry Potter could enhance the functionality of the Stargate. For instance, spells could be used to better navigate through the Stargate network or to protect the Stargate from unwanted intruders. Magic could also be used to power the Stargate in a different way than the normal power sources in the Stargate universe.
For a 'harry potter stargate xover fanfic', Daniel Jackson from Stargate would be an interesting main character choice. His thirst for knowledge and understanding of different cultures would make him eager to explore the magical world of Harry Potter. On the Harry Potter side, Ron Weasley could be a main character. His loyalty and his ability to adapt to new situations could play a big role. And of course, Samantha Carter from Stargate with her scientific expertise could be involved in trying to figure out the scientific basis behind magic in the Harry Potter world if there is any.
If we consider a crossover, the NCIS characters would be in awe of the technology the SG1 team uses. Ziva would be interested in learning some of Sam's self - defense moves. And McGee would be like a kid in a candy store around all the alien tech. On the other hand, the SG1 team would have to adjust to NCIS' strict protocol. For example, Jack might find it a bit stifling at first, but he'd also see the value in it. The interactions would be full of cultural clashes and mutual learning experiences.
The ninja skills of Naruto characters would be very useful in the Stargate Atlantis setting. Sasuke's Sharingan, for instance, could be used to quickly analyze new threats or understand the technology of the Ancients. Sakura's medical skills could be a great addition to the Atlantis medical facilities, especially when dealing with new types of injuries or diseases that they encounter on other planets. And Naruto's Rasengan could be a powerful weapon against the mechanical or alien threats in the Stargate Atlantis universe.
Well, Spencer Reid from Criminal Minds would probably be fascinated by the technology from the Stargate universe. He'd be constantly asking questions and trying to understand the scientific principles behind it. Meanwhile, Colonel Jack O'Neill from Stargate might find Reid a bit of an oddball at first, but would grow to respect his intelligence.