Cloth: a pliable material made usually by weaving, felting, or knitting natural or synthetic fibers and filaments.
Textile, cloth, fabric - they are all virtually interchangeable. Nowhere does anyone define cloth as only being wool or cloth.
Not to mention the fact - why does this even matter to you? Whether you consider it a cloth or not doesn't change the fact that the map is going to behave and feel exactly like a piece of coarse cloth.
Cloth- Woven or felted fabric made from wool, cotton, or a similar fiber
Burlap- Coarse canvas woven from jute, hemp, or a similar fiber, used esp. for sacking
Two different things. Cloth and fabric are not interchangeable. There are no "cloth stores" just fabric stores.
And why does it matter? Because this is the topic.