Why a lighter version has its own name
Statuario is bought for bold gray veining on a white ground. Take the boldness out and you have a different stone commercially even though the ground is the same.
So the trade named it rather than selling it as a lesser grade, which is the more honest arrangement. A buyer who wants a quiet white marble is not buying a disappointing Statuario; they are buying the version that suits a large surface.
Fine veining survives being cut
This is the practical consequence and it decides where the stone belongs.
A boldly veined marble cut into small pieces arrives unevenly: some carry a heavy vein and some none at all. Fine, evenly spread veining gives every piece roughly the same amount, so a Statuarietto holds together across a floor where a Statuario would need laying out and sorting.
Where the name comes from
Statuario itself was the marble reserved for sculpture: white enough to read as flesh at a distance, with veining sparse enough not to cut across a carved figure.
A diminutive of a sculptor's stone is an odd thing to call a floor tile, and it tells you the naming came out of a quarry trade rather than a marketing department. The word is describing the material against its own tradition rather than against a color chart.
Polished and honed
Two of the three pieces here are polished and one is honed.
On a lightly veined white the polish matters more than on a bold one, because there is less figure for the eye to hold and the reflection supplies some of the interest. Honed, this stone reads very quiet indeed, closer to a pale limestone than to a marble people would name.
Two sizes and one thickness
18x18 and 12x24, both at 3/8 inch, which is the standard for marble field tile.
Those are floor sizes, which follows from what the stone is for. A quiet marble is bought by the area rather than by the piece, and the formats reflect a stone meant to cover ground rather than to be a feature. There is no mosaic sheet and no trim in this range, which is the other half of the same fact: a stone used as a background rarely gets the full product line built around it.
The quiet marble problem
A stone chosen for being restrained has one weakness, which is that it can end up reading as nothing at all.
What keeps a Statuarietto from that is scale. Over a small area the light veining is barely visible and the floor could be any pale material; over a whole room the lines accumulate and the surface is recognizably stone. It is one of the few marbles that works better the more of it there is.
Where it sits among the white marbles
Brighter and more linear than a Carrara, far quieter than a Calacatta, and less pure than a Thassos, which has almost no veining at all.
White marble tile sets out how the whites separate from each other, and Asian Statuary is the bolder stone this one is named after.