Hmmm...

the simple expedient of plugging the u-derived value into the y_index of the Noise node (instead of using a constant) makes all three planes render as hoped - but with a diagonal symmetry. And both FireFly and SuperFly render the same pattern.

 

But even better is using the v-derived value instead for the y_index input - no symmetry:

 

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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.