draping vs weaving

So on page 64, the men refer to the women's rule over the city as a
shroud being draped over the city. I personally associate a shroud with
gloom-like what's draped over a coffin, as if the city has been "defeated".
Lysistrata essentailly says later on that the city was to be enveloped in a cloth
woven from all these bnevolent thing- it brings to mind an image of a mother
caring for a child, wrapping it in a handmade blanket and nurturung it.