I understand the DDR had a population of about 17 million. So - and I ask for this metric just for comparision in the economic coercion stakes - how many sex workers did it have? There are nearly a quarter of a million in HK, but that's Asia. Capitalist glamour again, you see. Then again, HK is quite developed economically (i.e. it's not Thailand). So that would give well in excess of half a million sex workers in the DDR, if it was doing 'as well' as the paragons of the (Asian) capitalist world in this regard.
Perhaps if you give people a guaranteed basic standard of living, they all choose not to work in the 'hospitality' industries - broadly defined. And is that so bad?
I am not sure what you are trying to prove, but I am quite sure the DDR is not going to be a good example for it.
I found Catherine Verdery's examination of socialist accounting practices in Romania quite revealing on this point, as she tracked the systems of incentives built in the accounting systems to show how the system regarded any goods provided to consumers, of any sort, as a loss - and thus, unsurprisingly, firms tended to minimize losses. This was from one of her chapters in the book, What was Socialism, and What Comes Next
