In this context the question about whether the story of Eden is factual or not is entirely inconsequential. What it presents us with, Christians believe, is a divinely sanctioned paradigm for the exercise of human dominion over our environment. The Catechism of the Council of Trent gives us this picture of it-
Man’s soul He created to His own image and likeness; gifted him with free will, and tempered all his motions and appetites, so as to subject them, at all times, to the dictates of reason. He then added the invaluable gift of original righteousness, and next gave him dominion over all other animals.
So the dominion is conditional upon several things, that is to say it is fettered. Man (short for humanity) must act after the image and likeness of God as outlined above. Man must be subject to the dictates of reason not to those of appetite and immediate gratification. Man must act righteously that is to say justly, mercifully and virtuously. Then, and only then can he exercise dominion over his fellow non-human creatures.