320 revolver

The 380 revolver short came in two versions-long and short case.Both of them are described in most books as different numbers (altough interchangeable).
I saw on another web site that the 320 revolver is described with different names according to its case lenght too.
In my Brandt book are listed the 380 short (long case) and the 380 short (short case) but the 320 revolver cartridge is listed as one,altough its case lenght has a considerable dimensional variation range.
In other words,is it correct to list the 320 revolver short cartridge with different names/numbers according to its case lenght?