Often, there could be a theme of discovery. If Chat Noir is in this state, other characters might discover something new about him. It could be a secret identity aspect if the fic is set in a way that his limp state reveals something about who he is beneath the mask. Or it could be a discovery of his true feelings or fears. This can add an element of mystery and emotional depth to the fanfic.
Another theme might be rescue or recovery. The fic could focus on how Chat Noir's friends or Ladybug in particular try to help him when he's in this state. It could also touch on themes of sacrifice, as perhaps he got in this state because of protecting someone. For example, he might have taken a powerful hit from an akuma to save Ladybug, and now he's lying limp, and the story delves into how she deals with that and tries to revive or heal him.
Finding a particular 'Chat Noir Lying Limp Fanfic' can be a bit of a hunt. First, consider looking at Tumblr. There are a lot of Miraculous Ladybug fans on there who post about and share fanfics. Additionally, you can use Google to search for it, but be specific with your search terms. Include details like the pairing if it's a shipping - related fanfic, or any other details you might know about the plot to narrow down the results.
One common theme is the idea of false accusations. In many of these fanfics, Chat Noir is wrongly accused of criminal acts, which leads to a lot of drama and his struggle to prove his innocence.
One common theme is the struggle between Chat Noir's normal self and the akumatized version. There's often a battle within him as he tries to fight the akuma's influence. Another theme is the reaction of Ladybug and other characters. They are usually shocked and have to figure out how to save their friend.
I'm not entirely sure as I haven't specifically studied 'chat noir sensitive fanfic', but it could potentially include themes like Chat Noir's internal struggles, his relationships with other characters in a more complex and emotional way, or perhaps how he copes with difficult situations in the Miraculous universe.
One common theme is heroism. Chat Noir and his patrol are usually depicted as heroes fighting against evil. Another theme is friendship, as they rely on each other in their missions.
The concept of a 'chat noir lying inert fanfic' is interesting because it allows for a deeper exploration of Chat Noir's character. When he's lying inert, we can see how the other characters in the Miraculous Ladybug universe react to him. It can also introduce new plotlines, like who caused him to be in this state and how they will be dealt with. Additionally, it can show the bond between Chat Noir and his friends or allies in a new light, as they try to help him get back on his feet.
One common theme could be courage. Chat Noir constantly shows courage in battles. Another could be friendship, as his relationship with Ladybug is a big part of his hero journey. And love, not just romantic love, but love for the city and its people.
Friendship is also a big theme. Through these fics, their friendship deepens as Chat Noir comforts Marinette. It shows how they can rely on each other even outside of their superhero and civilian identities.
I'm not sure specifically which 'chat noir lying inert fanfic' there are. You could try searching on fanfiction platforms like Archive of Our Own. They usually have a wide variety of fanfics related to Chat Noir.
Identity is a common theme. Chat Noir has to keep his identity a secret, and this can lead to a lot of deep thoughts about who he really is. He may question if he's more of his civilian self or his superhero self. Another theme is love, especially his love for Ladybug. It often consumes his thoughts and makes him wonder about the future of their relationship.