I'm not sure if the Potters (as in the characters in the Harry Potter series) would give away Harry Potter fanfic. In the official lore, there's no indication of them doing so. Fanfic is more of a creation by fans in the real world rather than something the fictional characters would be involved with.
The Potters, as in the Potter family in the Harry Potter universe, are not typically associated with giving away fanfic. Fanfiction is a product of the fandom, created by fans for fans. The Potters are fictional characters within the story, and while they might inspire fanfic, they wouldn't be the ones to distribute it.
There's no real reason for the Potters to give away fanfic. Fanfic is a fan - created content, and the Potters are fictional characters. They don't exist in the real world where fanfic is created and shared.
Yes, they might. Just like any other group of people, those who identify as Blacks or are part of the Potter family name (if we assume there are real people with that name) could be fans of the Harry Potter series and thus read fanfiction. Fanfiction offers a wide range of interpretations and extensions of the original story, and anyone with an interest in the magical world of Harry Potter could be drawn to it.
Maybe they were forced to. Some fanfictions could depict a situation where an external power, perhaps a more powerful dark wizard or a corrupted magical organization, compels them to give Harry away. This could add a layer of tragedy and helplessness to their story.
Sirius Black could also be part of it. He was Harry's godfather. He might have escaped from Azkaban earlier in this fanfic. He teams up with the Potters to rescue Harry. He could be the one who scouts out the Dursleys' house before the actual rescue operation, using his skills as an Animagus to stay hidden.
Another possibility is that Harry could find a hidden diary of his parents. The diary could contain their thoughts, experiences at Hogwarts, and even some secrets about the wizarding world that they were involved in. It would give Harry a more personal connection to his parents and their lives before him.
Well, he could discover new relationships his parents had. Maybe his mother Lily had a close friendship with a character we don't know much about in the official story. Fanfiction often delves into uncharted territories of a character's life. So, Harry could find out about the Potters' early days at Hogwarts, like their first encounters with certain teachers or how they formed their own group of friends.
I'm not sure specifically what this particular '11 000 miles away Harry Potter fanfic' is about as there could be many different stories with that title or related concept. It might be about a Harry Potter - related adventure that takes place 11,000 miles away from a known location in the wizarding world, perhaps involving a character being transported that far and having to face new challenges, new magical creatures, or different forms of magic that are unique to that distant place.
One reason for Blacks to read Harry Potter fanfiction could be the representation (or lack thereof) in the original series. Fanfiction can sometimes address issues like better representation of diverse characters. For Potters, it could be the curiosity of seeing their name in different fictional scenarios within the Harry Potter world. Also, the popularity of the series means there is a vast amount of fanfiction available, and both Blacks and Potters could be attracted to the variety of stories, whether it's about new magical creatures, different relationships between characters, or alternative endings to the main story.
One interesting story could be about the Potter family's daily life before Harry goes to Hogwarts. Maybe how James and Lily Potter raised Harry in his early years, their family traditions, and the magic they used around the house.
Well, it could be a story where Harry stumbles upon the second branch of the Potters. Maybe it's a long - lost part of the family that has some unique magical abilities or secrets. Since it's a fanfic, the author might take creative liberties and introduce some interesting plot twists, like the second branch being involved in a hidden magical society or having a connection to an ancient prophecy that Harry then gets drawn into.