I am studying IIR filters and their implementation. I am following the material published by Julius Orion Smith at Stanford. In particular, I am reading this page at the moment. It explains all the standard implementation of IIR filters with their direct and transposed forms.
However, for the transposed forms, it only discusses the transposed direct form 2. It says that an interesting property is the inversion of the poles and zeros: in transposed direct form 2, the zeros precede the poles.
I was wondering, does this property also holds for the transposed direct form 1? I would say yes, but it is not explicitly written in the literature.