I am only slightly familiar with other Mesopotamian myths and have not done such a word study.
But elements like six day creation, forbidden fruit and talking snake seem more appropriate for myth than literal history.
At least so it seems to me.
Then Cain, Able, Noah seem so as well. So you can ask me where some actual "history" begins. I think t is extremely difficult to say and to sort out. Perhaps Saul and David...even judges. My focus here was on creation in Genesis which seem quite obviously mythic to me.
I just don't think the historicity is as important as the theological points being made.
One philosophical complication I see in your saying that "the historicity isn't as important as the theological points being made" is that it raises the question: What is it that our Christian beliefs about God are
supposed to be either based upon or emergent from?
For many of us, when engaging religion, or the Christian faith specifically, from an existential position, we are sensitive to the notion of whether or not the Bible has any historical substance to it, and if so, at which points and to what extent within its narratives it actually expresses this historic substance. One thing you'll need to keep in mind in this "DARE" that you've offered to everyone in this thread is that many of us don't perceive, or receive (~ ala Blaise Pascal), any psychological palliative encouragement from the Bible
if we know that its possible historicity has little or no substance, or even coherency, on the whole.
Now, just to be fair, you're only wanting to focus in on the Biblical narratives about "Creation and the Fall," which to my mind centers upon chapters 1, 2 and 3 of Genesis and a few narrative portions that can also be found in other biblical books like Psalms or Job, or even in Paul's letter to the Romans, etc.
From my perspective, the main question when reading chapters 1 and 2 isn't first "what do these texts mean to me?" No, that's the
last question I ask when reading them. My first question, or battery of multiple questions really, is and always has been Historiographical, Historical, Archaeological and Anthropological in nature, and before my mind will allow me to find meaning in these biblical texts, I have to ascertain the answers to at least a few academic questions that would be asked by most professionals who work in the four fields that I just mentioned.
Without getting into those questions so as not to get off on a personal tangent, I simply want to bring to your attention that there are many questions that people have about the Bible, or even here about Creation and The Fall, other than the questions that you feel are personally prominent and of primary importance to the having of "faith." For me, your main question in the OP,
"Would anyone here dare to see the Genesis Adam and Eve "fall" more as a post exilic warning to the surviving Jewish community to obey the religious elders and their teachings (God)?" entails the immediate application of the battery of multiple questions mentioned above.