"Oh my giddy aunt" and other expletives !

Yes, I clearly had a sneaking suspicion back in Aug 2019...

Just created four perpendicular planes aligned with x, y, and z axes, each mapped to the full UV square and applied my random pool tiles material.

FireFly has no problem:

SuperFly on the other hand - if the constant is plugged into the y_index input of the Noise node (with the u/v derived values plugged into the x and z), as in my shader, the XZ plane is okay but the other two aren't.

Plug the constant into the x_index, with u/v to y/z:

And constant to z_index:

Exasperated. That's a good word for how I feel.

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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 or something else.
*soon only to be available in two flavours -  DAZ and Renderosity