Not sure what to make of the results I just got. In Poser 6 I just ran the script that does (1) to (9) automatically. First using the parameters I'd obtained from step (10) of the manual process in Poser 6, and second with the parameters I'd obtained from step (10) of the manual process in DAZ Studio

First: 'InHand' katana set up at origin in P6 using P6 HANDYPROXYDATA (yR=75.9741, xR=22.9775, zR=-10.0, xT=0.571, yT=0.089, zT=-0.38):

This is where the katana ended up - correctly positioned in the proxy-hand at the origin:

And here's all the Poser rotation/orientations for the prop:

The numbers on the parameter dials (xRotate, yRotate, zRotate) correspond to the values from the HANDPROXYDATA lines

AlignmentRotationXYZ() =(63.95, -8.864, 14.156)

Orientation() =(63.95, -8.864, 14.156)

LocalQuaternion()=(0.7802, 0.06667, 0.2319, 0.5770)

WorldQuaternion()=(0.7802, 0.0666, 0.2319, 0.5770)

Second: 'InHand' katana set up at origin in P6 using DAZ Studio HANDYPROXYDATA (yR=16.4, xR=22.12, zR=79.98, xT=0.546, yT=0.198, zT=-0.375):

Here's where the katana ended up - wrong!

And here's all the Poser rotation/orientations for the prop:

The numbers on the parameter dials (xRotate, yRotate, zRotate) correspond to the values from the HANDPROXYDATA lines

AlignmentRotationXYZ() =(63.95, -8.864, 14.156)

Orientation() =(63.95, -8.864, 14.156)

LocalQuaternion()=(0.7267, 0.09721, -0.4695, 0.4919)

WorldQuaternion()=(0.7267, 0.09721, -0.4695, 0.4919)

I noticed that all the green values are the same (exactly the same, to at least 12-13 decimal places).

I really do not understand all this...

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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.