  Recently, the number of non-standard percolation models has proliferated. In
all these models, there exists a phase transition at which long range
connectivity is established, if local connectedness increases through a
threshold $p_c$. In ordinary (site or bond) percolation on regular lattices,
this is a well understood second-order phase transition with rather precisely
known critical exponents, but there are non-standard models where the
transitions are in different universality classes (i.e. with different
exponents and scaling functions), or even are discontinuous or hybrid. It was
recently claimed that certain scaling functions are in all such models given by
extreme-value theory and thus independent of the precise universality class.
This would lead to super-universality (even encompassing first-order
transitions!) and would be a major break-through in the theory of phase
transitions. We show that this claim is wrong.
