The dancers in the Moulin Rouge are known as "Les Dormeuses" which translates to "The Sleepers". The name refers to a famous scene in the Parisian can-can where the dancers would fall down in a heap, appearing to be asleep.
However, "Diamond Dogs" might refer to the film "Moulin Rouge!" (2001) directed by Baz Luhrmann. The film features a character named "The Duke," who is obsessed with the Moulin Rouge and its performers, and he refers to them as "Diamond Dogs."
This is a play on words:
* "Diamond Dogs" is a term referencing expensive jewels and luxury, which aligns with the Moulin Rouge's image of opulence and extravagance.
* "Diamond Dogs" also references the song by David Bowie, which itself is about the harsh realities of a dystopian society - a fitting comparison to the sometimes brutal world of the cabaret.
So, while the dancers themselves aren't called "Diamond Dogs," it's a term used in the film "Moulin Rouge!" to reflect the characters' perception of the performers.