We report here about an interesting anomaly, recently discovered, concerning the transmission values of the vertices on the surface of a Klein bottle fullerene depicted like a hexagon-tiled graph with  vertices and  edges.  depends on the two graph dimensions  and , respectively the length of "cylindrical" and Möbius zigzag edge. Our numerical computations showed that Klein bottle cubic graphs become transitive when LCLM. As a peculiar consequence, this kind of Klein bottles are topologically indistinguishable from toroidal lattices with the same size ( ).