As I don't know the 'Livye Lewis story', I can't say exactly who this Livye Lewis is. It could be an ordinary person with an interesting personal story, or perhaps someone who is known within a certain group.
Jessica Chambers was a victim in this story. She was a young woman who unfortunately became the center of a very tragic and mysterious case when she was found burned in a vehicle.
Jessica in Dune was indeed pregnant. According to the contents of document 1 and document 2, Jessica was pregnant with Paul's sister, Alia. When Jessica's mind was united, Alia, who was in her belly, also entered the state of mind unity. She became the Virgin Mary before she was born and obtained the memories of her female ancestors and all male ancestors. In addition, documents 3 and 6 mentioned that the Lady Jessica, for the love of Duke Atreides, had deviated from the plans of the Sisterhood and given birth to a boy, Paul. Therefore, it could be confirmed that Jessica was pregnant in " Dune."
It enriches our understanding. Fiction can fill in the gaps of what we don't know for sure. For example, we can't be entirely certain of the personal thoughts and feelings of Lewis and Clark during every moment of their journey. Fiction allows authors to make educated guesses and present those in a story form.
Well, in the world of the show, there's no official scene of the characters watching fanfic. But if they did, some might be amused, like Luke Cage could find it an interesting take on their world. Others, like Jessica herself, might be a bit annoyed as she's a very private person and fanfic could distort her image in her mind.