Looks like the answer is going to be yes. I got ice Friday night, and the blender and I were very, very busy. Only two of the things I put together actually had any booze in, and that was only a very little. The rest was just soda and ice, and, yum. Yay me for keeping cool.
Tomorrow morning I'm going to probably use up the rest and smirk happily with my iced drink, whatever that's going to wind up being, at work, while everyone else is iceless because of the soap-spewing asshat's little trick with the ice machine.