Hmm.
In mine, the bottom of the blender is narrow, and the ice cubes are big, so the cubes form a sort of log jam. The blender then crushes the bottom layer of ice and nothing else since the cubes don’t move around.
The Starbucks ones are very wide at the bottom, this allows for effective agitation of cubes.
So it may be that yours will crush ice if the cubes are sufficiently small to begin with… Let me know how you get on.
Should you want to create an approximation to a Starbucks caramel coffee frappucino (just to annoy the haterz 🙂 ) then use ice, a shot or two of espresso and some vanilla ice cream. If you are a hater you could still do this because it’s really nice. You could also add Baileys.