Tom, the two Syracuse L.C. Smiths I have, a 10 ga. and a 12 ga. both have the 3 position safety. I belileve in their catalog of 1888, it states that they are supplied with the 3 position safety and why.
You are correct on the FW frame, an installed HOT cannot have an automatic safety as that area where the safety slide goes is milled out along with some of the top tang to allow the second firing. It rises up and almost touches the top tang.
However on a Regular frame gun, an automatic safety can be used.
I was assured by the owner of this Specialty Gr. that this came from the factory like this.