The raid might also change Peter's perception of the superhero world. He's used to his own little corner of it as Spider - Man. But when Captain Marvel comes in, she represents a whole different level of power and responsibility. This could inspire Peter to think more globally about his hero duties and perhaps even consider joining forces with other heroes on a more regular basis.
In some fanfics, there could be a creative interpretation where Captain Marvel is made out to be Peter's mom, but this is not part of the official Marvel canon.
In most official Marvel lore, Captain Marvel has no relation to Peter Parker in that way. However, in fanfic, the writer can create any kind of relationship they want. So it's possible in fan - created stories for Captain Marvel to be depicted as Peter Parker's mother, but it goes against the traditional canon.
One way could be through some sort of time - travel or alternate reality plot. For example, if there was a situation where Captain Marvel went back in time and became involved with Peter Parker's father, or if an alternate reality had different rules of genetics and relationships. Another way could be a magical or alien - influenced situation where Captain Marvel was somehow magically linked to Peter Parker's creation in the fanfic world.
One reason could be to create a new and exciting dynamic. It adds a different layer to Peter's character and backstory.
Well, it could be a really exciting scenario. Captain Marvel is extremely powerful, so if she 'raids' Peter's fanfic world, she might disrupt the story in a big way. Maybe she accidentally changes the plot or gets into a misunderstanding with Peter. For example, she could think Peter is involved in something dangerous when he's just dealing with normal Spider - Man stuff in the fanfic.
It might include a rewritten backstory for Peter, showing how he grew up with Captain Marvel as his mom. There could be scenes of her teaching him about his powers or about the universe. Also, it may have new interactions between Peter and other characters in the Marvel universe, as they would view him differently with Captain Marvel as his mother.
One possible plot could be that Captain Marvel discovers Peter, who is perhaps an orphan or in a difficult situation. She decides to take him under her wing. She could teach him about the vastness of the universe, and how to control his powers better if he has any. Peter might learn valuable lessons about heroism and responsibility from her, and they could go on adventures together, facing off against powerful intergalactic threats.
I'm not sure if there is an existing 'Captain Marvel is Peter's mom' fanfic. Fanfics can cover a wide range of wild and creative ideas, but this one seems rather unorthodox. There could potentially be some out there written by creative fans who like to explore unique relationships in the Marvel universe, but without actively searching fanfic platforms, it's hard to say for sure.
He could inspire them. Captain Marvel's strong sense of justice and his amazing powers can be a source of motivation for the sad Young Justice members. Just seeing someone so powerful yet still fighting for good can lift their spirits.
Her speed could make her seem distant to her friends and allies. Since she can move so fast, they might feel like she's always in a rush and not fully present in their interactions. For example, she could quickly say goodbye and be off on another mission before they even finish their conversation.