Well it has a certain kind of utopian ring to it. But my guess (as a German native speaker) would be that if you were to ask ten Germans whether the word was me

Well it has a certain kind of utopian ring to it. But my guess (as a German native speaker) would be that if you were to ask ten Germans whether the word was meant positive, negative or neutral, the needle would not swing as decisively into negative direction as some here claim. It is very typical for example to read: "Die Eierlegende Wollmilchsau!" as the title line of a clearly positive review of some sort of technological product sold online. I have never once seen it used in a negative way in such a review, even though it certainly has the aforementioned "wet dream" aspect to it.