Whether stone, diamond, or copper- the wheel's profile determines various shapes or styles of line engraving glass just like a painter's selection of brush on canvas. Stone wheels are more versatile than diamond because the maker can shape them into custom versions of 3 basic profiles. This video by Corning Museum of Glass, shows different wheel profiles doing their stuff.
But, the narrator got it wrong- the star glass cut isn't "brilliant cut". In the video, it looks shiny because it's still wet from being cut. When dry, it'll appear frosted. It is NOT brilliant cut until it's polished to clear. Here's the difference-
The eye in the fish design* above is brilliant cut as are some bubble shapes. The rest is intaglio cut. A separate wheel does the polishing. It's made of poplar wood to match the stone wheel. A slurry of water and cerium oxide brushed on the wheel brings the cut up to an optical (clear) polish. As opposed to diamond wheels, stone ones leave a satiny surface that's polished in just one step. But, it needs to be done carefully because the cut can suddenly overheat- result: work shatters.