pebble grain cowhide
I have been in the women's shoe business since 1970 in wholesale, manufacturing, and retailer. I have bought leather as well as shoes. I do not know what they call it in the pool industry, however, we call it is pebble grain cowhide. It is side leather from a cow. The grain is stamped into the leather with a plate.
There is another process for softer leather called tumbling. This is not it because tumbled would pull out when stretched over the plastic.