I am not sure the manufacturers would ever accept a labeling system. They use very different "background" white goods for a wide variety of printing. Places like Moda even change over time or with different designs. I remember when Moda tried a very very thin brand of background cloth and got hammered with complaints. It frayed a lot.
The hardest part is to find out how many chemicals are added, for finishing the cloth for example. I am sure many of us have had good looking and feeling cloth turn into dishrags in the wash or shrink so much with a touch of steam that we wonder what will happen the first time it is washed whether solid or print.\
Now it is buyer beware.