Checkerboard or rose cut stones, by definition, would not be
cabochons, since they are faceted.
I believe standard common use is
1) faceted gem, crown with table, has pavillion
2) checkerboard, faceted top, no table, pavillion
3) checkerboard cab, faceted top, flat bottom, no table
4) rose cut, faceted top, table, flat bottom
All the websites I visit that carry them, have a catagory for
Richard Hart G.G.