Characterize absolute incidence theorems arising from the master theorem

Determine whether every absolute incidence theorem is an instance of the master theorem for tilings of orientable surfaces with an equivalence relation on the white vertices.

Background

The paper proves that every incidence theorem generated by the tiling-based master theorem is absolute, meaning that the corresponding determinant implication remains valid over every commutative ring. It also constructs an incidence theorem that holds over every field but is not absolute, and therefore cannot itself be an instance of the master theorem. The remaining classification question is whether the class of absolute incidence theorems coincides with the class generated by the master theorem.