Cool Wash IS the drink stop outside of Test Track, as mentioned, and I believe the "COOL WASH PIZZA" they are referring to is the little "CART" near there that sells pizza and hot pretzels.
Sadly, I think all the pizza in WDW is the same "tomato-based cardboard" that your daughters described. I noticed the same crusts at the resorts, and even at the sit-down restaurants under various disguises (breakfast pizza, dessert pizzas, etc.)
My guess is that WDW food service buys those frozen pre-formed crusts and serves them anywhere fast-serve pizza is to be found. Exceptions would be place like Mama Melrose's at MGM or any of the other "sit-down" places where they are obviously (by shape and taste!) made in-house to order.