Loaded the P9 default scene, deleted Andy, loaded 4 Slicers, loaded Andy, loaded another Andy. Parented the 4th slicer to the 1st Andy Parented the 3rd slicer to the 2nd Andy

Here's what my script gave me

External Name = SlicerSword_1 (Internal Name = SlicerSword)
External Name = SlicerSword_2 (Internal Name = SlicerSword 1)

External Name = Body (Internal Name = BODY:2)
External Name = GoalCenterOfMass (Internal Name = GoalCenterOfMass:2)
External Name = CenterOfMass (Internal Name = CenterOfMass:2)
External Name = Hip (Internal Name = hip:2)
External Name = Waist (Internal Name = waist:2)
...
External Name = SlicerSword_4 (Internal Name = SlicerSword 3:2)

External Name = Body (Internal Name = BODY:3)
External Name = GoalCenterOfMass (Internal Name = GoalCenterOfMass:3)
External Name = CenterOfMass (Internal Name = CenterOfMass:3)
External Name = Hip (Internal Name = hip:3)
External Name = Waist (Internal Name = waist:3)
...
External Name = SlicerSword_3 (Internal Name = SlicerSword 2:3)

Saving as non-smart props:

{
version
    {
    number 9
    }
prop SlicerSword 3:2
    {
    storageOffset 0 0.3487 0
    objFileGeom 0 0 :Runtime:Geometries:VaL_Slicer:SlicerSword.obz
    }
prop SlicerSword 3:2
    {
    name    SlicerSword_4

{
version
    {
    number 9
    }
prop SlicerSword 2:3
    {
    storageOffset 0 0.3487 0
    objFileGeom 0 0 :Runtime:Geometries:VaL_Slicer:SlicerSword.obz
    }
prop SlicerSword 2:3
    {
    name    SlicerSword_3

That seems to confirm that theory, although of course further tests may change that. But it seems a good start.

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The 3Dcheapskate (also available in DAZ and HiveWire3D flavours) occasionally posts sensible stuff. Usually by accident.
And it usually uses Poser 11, with units set to inches. Except when it's using Poser 6 or PP2014, or when its units are set to PNU.