Why would you come to such a conclusion when God had given them the right to eat freely of the tree of Life?? If there is no scripture saying that they did not eat from the tree of life and scripture states that God gave them access to eat of the tree of life.. Then the balance of scripture is in support that they had access to and ate from the tree of life before they where finally cast out and lost access to the tree of life....
I explained myself. Just drop it. This isn't something one can be right or wrong about. It's conjecture.
It's not something that will throw all Christendom into a downward spiral if we have a wrong opinion about it.