I see what you’re saying. However, I think that God gives everyone the opportunity and the ability, through a removal of the blindness that Satan has put on them, the chance to repent and then gain eternal life, to become spiritually alive.
The order is different. They are enlightened, given the chance to choose, and then either granted eternal life or not based on that choice.
"Enlightenment" does nothing, so long as a Fallen Man's heart remains Unregenerate. Even Satan himself knows of God -- he just does not desire to Follow God.
If an "Enlightened" Man (for that matter, Adam and Eve were "enlightened" unto the knowledge of good and evil -- and knew that they were Evil, Spiritually Dead and at Enmity with God), still Fallen and Spiritually-Dead in his desires, is given the choice to Follow God or Reject God, he will always freely choose to Reject God.
As Scripture instructs us in Romans 8:7-8, while yet Unregenerate, a Fallen Man will never choose the God-Pleasing choice. "Enlighten" him all you want; while he yet remains Spiritually Dead, he will always freely choose to Reject God.
Free Will without prior Spiritual Regeneration, just means that every single human being will freely choose to Reject God.