The message isn't to be innocent of scientific knowledge -- it's to be innocent of evil. And that evil is immediately made manifest not just in Eve blaming the snake, but perhaps more heinously by Adam blaming not only Eve but God: "The woman whom You gave to be with me, she gave me of the tree, and I ate". Adam and Eve demonstrate a renunciation of self responsiblity and ultimately, of the gift of free will that they have been given, for the sake of trying to falsely appear blameless. Contrast this with the new Adam, Christ, who takes the blame of others upon Himself (even though He is blameless) demonstrating not just His divinity but _what humanity truly is_.
So we see that the message of the fall, once fully illumined by Christ, is really that we ought to love one another by covering one another's sins (isn't this forgiveness?) It is in this that we become God-like: not by simply eating of the tree. And if we use only our rational minds we might not ever arrive at this point, because to make oneself responsible for things one isn't responsible for -- whether it is problems others face or the outright wrong things other people have done -- is beyond rationality and is instead both truly human and divine.