Kitchen, among others denies that there is a link, but this came back to mind when I was reading Creator and Creation by Simkins, where he says:
Certainly the Enuma Elish is the most elaborate Mesopotamian creation myth, but it is doubtful that it represents the predominant Mesopotamian view of creation. One prominent Assyriologist even characterized it as a sectarians and an aberrant combination of mythological threads that have been woven in to an unparalleled composition (Lambert, 1965). Although he perhaps depicted the myth too narrowly, he has rightly cautioned us against overemphasizing this myth in understanding the Mesopotamian view of creation. Some scholars have even argued that the Enuma Elish is a foreign import into Mesopotamia. The textual evidence suggests that there is no single tradition that made up the Mesopotamian view of creation.