My 1926 Nash parts book shows these rotary light switches were made by Delco. In 1927 Delco became Delco Remy.
Looking at your switch I'm pretty sure that the same company would have supplied Stutz.
I ended up with 2 of these switches when looking for one for my 26 Nash advanced six, it turned out one that I had, was for a 26 Studebaker and has been sold to a guy in need.
I have later found out that Nash, Studebaker, Buick and Cadillac had these type of switches too, however, they, like clum switches, are not all the same. There are differences in the gears and also the diameter of the shafts can also be of different sizes. I would suggest getting your old one off and measuring the size of the shaft that goes thru the bracket (held with a pinch bolt), measure the gear shaft size and see what numbers are on the gears, this may help in seeing if the switch might be the same as other cars.
good luck in your search for a replacement, they are hard to find.