A friend and I have a couple of those.One is a Pines,and the other is a Perfex.I just don't remember who has which,they are tucked away in the sheds.I think on one of them you would have to drill 4 holes in the shell to mount it.
The radiator shutter on that Ford Model A was called the "Moto-Gard" and was manufactured by the Brewer-Titchener Corporation, Cortland, NY (note the "Moto-Gard" name plate on the top center of the shutter area.)
Here is an era magazine advertisement for that "Moto-Gard" radiator shutter: