Indeedily deed they do, my right-facing froggy friend.
It is easier to ask the system to operate with some randomness than it is to exclude a particular drink altogether.
Now that I think about it... I've had iced milk before. It's kind of alright if you drink it fast, but once it starts to really melt it gets icky quickly... O<O;
But compared to mixing Tang with milk... (eeegh) it's somewhat tame.