All reproducible means here is that someone else can think of the same thing. That is not controversial. No one in this thread denies it.But you could imagine a place and then map it, you could imagine a house or castle and map it. I am not saying you could imagine a castle that would be functional in terms of architecture. The claim is you are imaging a model that is reproducible
What is being discussed is how does the reproduction take place? Ie how do the players learn the contents of the GM's imagination?
I don't think the answer is very hard. Gygax and Moldvay make it clear enough: the GM tells them.