A common theme could be self - discovery. Writers might explore how Adam Lute discovers more about himself, his powers (if he has any in the relevant context), or his place in the world.
Love and relationships are also quite common. It could be romantic relationships with other characters, or platonic friendships that help him grow as a person. For example, a story might focus on how his relationship with a particular friend changes his perspective on life. This gives the readers a chance to see different sides of Adam Lute's personality through the lens of his relationships.
A common theme could be adventure. Maybe Adam and Lute go on a journey together and face various challenges along the way. This could include battles against enemies or solving mysteries in a fantasy world.
Common themes may include the exploration of their personalities. Since they are characters from Hazbin Hotel, their unique traits are likely to be delved into. Also, themes of loyalty and trust could be present, as their relationship develops. They might face challenges together that test their bond, which is also a frequently seen theme.
A third theme could be transformation. The shadow and the lute could have an influence on each other. Maybe the presence of love makes the shadow more 'solid' or real, and the lute player might become more in tune with their own hidden or darker side because of their relationship with the shadow. It's all about how these two elements interact and change each other in the context of love.
Another option is to join relevant fan communities or forums dedicated to the work that Adam Lute is associated with. There, fans often share and recommend their favorite fanfictions about him.
Power management is also a theme that pops up. Adam has powerful bionic abilities, and in fanfiction, there could be stories about him learning to control them better. Maybe he accidentally causes some destruction with his powers and has to figure out how to fix it. Or perhaps he discovers new ways to use his powers that he didn't know before, which then leads to all sorts of adventures and challenges in the fan - written stories.
The theme of self - discovery can be seen in some Adam and Echo fanfictions. They might be on a journey where they learn more about themselves, their capabilities, and their place in the world, all while being in each other's company.
One common theme is redemption. Since Adam was sort of left behind in the show, many fanfictions focus on him redeeming himself or finding his purpose. Another theme is family. Adam trying to fit into the Winchester family dynamic is often explored.
Love is a very common theme. Most of the fanfictions revolve around Adam and Emma falling in love or being in a deep, committed relationship. Another common theme is growth, both as individuals and as a couple. For example, they might grow through facing challenges together.
A common theme is isolation. Just like in the original story, Adam is often portrayed as an outcast in fanfiction, struggling to find connection. For example, in many stories he wanders alone, longing for acceptance.
One common theme is his music. Fanfictions might explore how he gets inspired to write a particular song or what goes on during a recording session.