personally I don't consider a particular shoe mass produced based on which company store is getting them, but rather the allocation of pairs per those company stores.
You can say if its released at a big retail outlet like Footlocker means a mass produced pair, but if actually only 3 footlockers in the whole country got them, then its not really mass produced right.
Hell, SNIPES got the reverse grinches, and if by "store name" definition if Snipes got them then its mass produced? But snipes only had 1 fsr and only 2 stores in all of NY got them despite there being 22+ store fronts in NY.