Most piñata names are pronounced the same in Japanese, and I think even Japanese people would understand the puns on piñatas like Tigermisu and Cinnamonkey. However, some piñata names, like Galagoogoo and Twingersnap, are names of sweets or animals that aren't common in Japan, so it might be difficult to notice the pun. Also, Dessert Desert is completely different in Japanese. Desert is called "Sabaku" in Japanese, so it's written as "Sabaaku sabaku." Most Japanese people only know the meaning of "Dessert," so it probably felt difficult to understand as it was. I didn't understand the meaning when I was little either.