There are potential connections between the complexity of LO coloring and other promise constraint satisfaction problems that remain unclassified. The classification of promise constraint satisfaction problems (PCSPs) on the binary alphabet has been a significant area of research, with recent advancements shedding light on the complexity of various symmetric PCSPs. Given the relationship between LO coloring and PCSPs, particularly in the context of 2-LO colorable 3-uniform hypergraphs, there may be unexplored connections with other PCSPs that involve different constraints and structures. By investigating these connections, researchers may uncover new insights into the computational complexity of LO coloring and its implications for a broader class of constraint satisfaction problems.