Again, thanks for the comments!
@Fernando: No, only the mesh + UVs. But the fact that it generates UVs based on the patterns used for creating the cloth is a great advantage. In the mat example it was only a rectangular pattern - but in more complex objects (like a sailor's coat from the late 1800s) instead of being a serious nightmare to UV map, it's all exported with the different patterns laid out in one nice tile.
And just to clarify: This is a pattern: