Several different (but similar) decanters were made for TNG and DS9, and that one was sold was said to have been made for DS9. It is a different number of steps, in any case, so it’s not the same as the TWOK one. So far as I know, the TWOK decanter was never sold, nor is much known about it at all.
@Mechamaniac’s drawings show radiused corners on the steps but no space between them. I have always viewed it similarly, but the scene is very dark. Bringing up the light levels makes me question my assumptions about the prop though.