The "keep them running" rule does not apply to absorption type refrigerators. The kind in an Ollie that run on propane and not on a compressor.
I don't know why that would even apply to a modern compressor type because they have no mechanical seal and are hermetically sealed with no protruding shafts. Old fashioned fridges and deep freezes had an electric motor that turned a compressor with a belt, similar to automotive air conditioners. That is the type that needs to run once in a while.