if I am not mistaken then the default parameters (conformalMethod == 0) make phi = ln(gamma)/12 a tensor density of type tensorspecial == "log" and weight 1/6. The weight is in the code, the special is missing. This of course breaks once one sets conformalMethod == 1 and actually re-interprets phi as W.
Fix in the Mathematica script would seem to add
SetTensorAttribute[phi, TensorSpecial, "log"];
and to define a new grid function W with the proper type for the coformal case. Only should affect multipatch runs.