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* 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.

*also available in ShareCG, DAZ, and HiveWire3D flavours (the DeviantArt and CGBytes flavour have been discontinued).