This clearly isn’t accurate, as the very specific temple role of mankind in the cities in which these stories arose shows. You’d have thought that WLC would appreciate that, having shown to his own satisfaction the geographical localisation of the “Babylonian World Map” in other work.
The situation is much the same - not only in ANE literature, but in a large part of ancient anthropology, “man” designates your own people, the ones who matter, in the land that matters. The astonishing thing about Genesis 1-11, especially the table of nations, is that it is concerned about the spread of Adam’s line amongst the nations.
Arguably, given the cosmic context of Gen 1, the creation of mankind there may be taken as universal, though I wouldn’t want to press the point without being certain of the concept of the world being referenced there: it is certainly not the same as our Greek metaphysical concept of a self-contained “cosmos,” and arguably might be as geographically restricted as the Babylonian world map, though I don’t think so.