None of this page's long-range pieces are switching. The Rhino's first three destinations are those of the Wazir, Knight, and Camel. Knight plus Camel equals famously triangulating Gnu. Likewise the even destinations (exactly as with the Mirror Rhino) are destination of the Nightrider - a straight linepiece like the Bishop and Rook and so able to make two moves in the same direction and return in a single move the same length as the two together.
Indeed not even a Waverer, a Rhino restricted to moves of odd numbers of steps, is switching as a Camel move can be reversed in four Wazir ones. Nor is a Feverer, a Mirror Rhino so restricted, as a Ferz move can be reversed in two Zebra ones. It may be more difficult when what I am for short calling Camel/Zebra moves are stepping ones here, but it is posible.