That is totally false. Since the curse came upon all creation, these two creatures were also cursed and here is the proof:
GENESIS 3: THE CONSEQUENCES OF DISOBEDIENCE TO GOD PLAINLY STATED
14 And the LORD God said unto the serpent, Because thou hast done this, thou art cursed above all cattle, and above every beast of the field; upon thy belly shalt thou go, and dust shalt thou eat all the days of thy life:
15 And I will put enmity between thee and the woman, and between thy seed and her seed; it shall bruise thy head, and thou shalt bruise his heel.
16 Unto the woman he said, I will greatly multiply thy sorrow and thy conception; in sorrow thou shalt bring forth children; and thy desire shall be to thy husband, and he shall rule over thee.
17 And unto Adam he said, Because thou hast hearkened unto the voice of thy wife, and hast eaten of the tree, of which I commanded thee, saying, Thou shalt not eat of it: cursed is the ground for thy sake; in sorrow shalt thou eat of it all the days of thy life;
18 Thorns also and thistles shall it bring forth to thee; and thou shalt eat the herb of the field;
19 In the sweat of thy face shalt thou eat bread, till thou return unto the ground; for out of it wast thou taken: for dust thou art, and unto dust shalt thou return.
ROMANS 8: THE CURSE CAME UPON ALL CREATION AS "THE BONDAGE OF CORRUPTION"
19 For the earnest expectation of the creature [CREATION] waiteth for the manifestation of the sons of God.
20 For the creature [CREATION] was made subject to vanity, not willingly, but by reason of him who hath subjected the same in hope,
21 Because the creature [CREATION] itself also shall be delivered from the bondage of corruption into the glorious liberty of the children of God.
22 For we know that the whole creation groaneth and travaileth in pain together until now.
23 And not only they, but ourselves also, which have the firstfruits of the Spirit, even we ourselves groan within ourselves, waiting for the adoption, to wit, the redemption of our body.
Sin brought death to every creature. And death results in corruption, decay, degeneration and disintegration. The Second Law of Thermodynamics (Entropy) also went into effect. "The Second Law also states that there is a natural tendency of any isolated system to degenerate into a more disordered state".