Well, I did it anyway; had to find out what's inside the SQ back!
Here it is for the SQ back. The function is just the same although the parts are shaped differently: When you load the film, it gets pulled tightly over the top (larger) roller. When you put the insert into the back and close the cover, it pushes a metal tab that engages the gear attached to that top roller with a train of gears that were spinning loosely but are now connected to the frame counter mechanism (because you closed the cover). Closing it also pinches the film between the large rollers (on the insert) and two very thin rollers in the outer body of the back (just behind the dark slide). This ensures that the film will rotate the large top roller precisely as it advances. As you crank the winding handle, two things happen: you tell the camera that there is film in it (the pin at the bottom of the back engages with a pin on the body of the camera) and you tell it when you have arrived at the first frame and are ready to make the first exposure. Very simple and clever and yet requiring accurate gearing.