If you *must* teach an alternative definition of Shakedown, please warn your students to the fact that it IS an alternative definition. It's usually better to teach the correct definition, as incorrectly taught definitions have a way of sneaking up on you and causing trouble. You might be doing a disservice to your dancers by teaching alternative definitions.
Another thing to consider with this particular alternative definition is that from the dancer's standpoint it is actually more complicated than the `offical' definition. The dancers have to remember three distinct parts in order to do the call. When learning Shakedown this way, the dancers will in all likelihood initially dance it very choppily.
A perhaps slightly better alternative definition for Shakedown might be something like: Move one position clockwise (right) in your box while turning 270 degrees to the right. At least this definition can't be fractionalized into those hideous thirds.
This topic is a pet-peeve, of mine, and I've written an article entitled The Shakedown Rebuttal.