There is nothing wrong with that paper. The crystal system of that particular matter undergoes a transition through which its holohedry reduces to a smaller one. The highest order symmetry element was a 4-fold rotation, now it's not. Of course, diagonal mirror planes have to disappear as well.
Notice that Crystal system is a characteristic of the lattice. It does not care about the crystal structure (i.e., what arrangement of atoms each lattice point carries).