Non-statisticians can be easily misled by the phrase "missing at random". Their natural interpretation tends to be closer to MCAR than to MAR.
I had to explain the concept to an ecologist today, and his reaction was something along the lines of "But why on Earth would you call it that?".
I must admit, I couldn't come up with a better answer than "that's just the name we've always used". Does anyone here have a better response?