It seems to use a similar naming convention as stucco, where the thing that is applied shares the name with the resulting texfure.

Blender modeler here. We often do grebble in geometry nodes. Not sculpting

To be pedantic in return - in 3D modeling you absolutely can add greebling as a bump map or tessellation texture.

I get where you're coming from but texture in layman term is (microscopic) characteristic of the surface. You wouldn't appreciate crisp 16bit RGBA pixels in your mouth when you bite an apple.

It's texture as in surface quality, not the meaning used in computer rendering.

In the late 1990s I wrote an Alias|Wavefront plugin called greeble that built a bump field + height field from texture so artists could paint greebles on by hand, so whether or not that’s the proper way to do it, it’s been a texture thing for a long time.