Haven't seen the cups, but we have only stayed at Portofino. I would think since Loews owns both that Hard Rock might follow suit. We also love the cups and run to buy these first when we get to our Disney resort. Although the Universal parks do sell these cups, with a small price to refill -- this might be an option. We have never done this - it stills seems expensive. I normally bring in a diaper bag for the girls and just sneak in a couple of soft drinks and a frozen water bottle.
Have fun!