I'm pretty sure they don't. Their professional commitments and personal lives keep them occupied. Fanfiction is probably not something they have the chance to engage with.
A fanfic could revolve around a concert situation where some of the BTS members get stomach flu right before a big show. It could show how they struggle with the illness but still try to put on a great performance for their fans. Maybe RM has to step up and adjust the choreography on the spot to accommodate the sick members.
Rumors about BTS members' love stories are not uncommon. One rumor was about Jin having a secret relationship. However, BTS's management has always been very protective of their privacy. And the members themselves are more interested in their art and connecting with their fans. So, these rumors are mostly just noise in the media and among some over - enthusiastic fans.
The BTS members are quite secretive about their love lives. J - Hope is known for his positive energy and kindness. He might attract someone who loves his bright spirit. V has his own unique charm and artistry. While fans are curious about their love stories, BTS focuses more on their music career and their relationship with ARMY. So, most of what we can say about their love stories are just our assumptions based on their public personas.
One inspiring part is their unity. Despite coming from different backgrounds, they support each other. For instance, when a member is having a hard time, the others are always there. Another is their perseverance. They faced many rejections and setbacks in the early days but didn't give up. They kept working on their music and performance skills.
In jimin x bts members fanfiction, a prevalent theme is unity. The stories usually depict how Jimin and the other members are united in their goals and dreams. Love and care is another common theme. It can be platonic love, but it's very strong, showing how they take care of each other. Additionally, the theme of inspiration is often there. Jimin might inspire the other members or vice versa, and this is beautifully shown in many fanfictions.
Jungkook might be initially shocked and scared. He's the youngest but also very responsible. So, he'd probably be the first to try to find a way to make sure the fan is okay and figure out how to let them go without getting into too much trouble. V, on the other hand, might be more curious about the fan. He could try to talk to the fan and understand why they were in the situation they are in. Jimin would be worried about the consequences for BTS as a whole, but also show a lot of empathy towards the fan.
Jungkook might immediately rush to Suga's side, being the youngest and often very concerned about his hyungs. He would probably look really worried and call for help right away.