Well, in many fanfictions, Homicidal Liu is depicted with his internal struggle. His past traumas are often highlighted, which shape his current self. Ticci Toby, on the other hand, is portrayed as someone who is constantly on edge. His tics are not just a physical characteristic but also a part of his psychological makeup. The authors show his impulsiveness and how it affects his relationship with Liu. They both are shown in a rather dark light, with their actions and decisions being influenced by the horror - filled world they inhabit.
Authors often take great care in portraying Homicidal Liu's duality. His 'Sully' side is aggressive and violent, while his other side might be more in control at times. This creates an interesting dynamic within the character. For Ticci Toby, his backstory of a troubled childhood is often used to explain his current state. He is shown as a character who is both a victim of his circumstances and a perpetrator in the world of Creepypasta. The way he moves, talks, and reacts to different situations, especially with Liu, is carefully crafted by the authors to bring out the unique nature of their relationship.