Each clip-on nut is designed for only a small range of sheet metal gauges (thicknesses).
[1][2] A G-nut, or G-style nut, is shaped like a "G" and clips to the edge of a sheet metal object.
It is different from all of the other types in that it is meant to clip over a small flange on the edge of the sheet metal.
The threads are from an integrated nut that has a special boss to sit in a hole in the sheet metal.
These legs are formed to have lips that grab onto the sheet metal object.