Would the Serpent (Satan) have dwelled eternally on earth if the fruit was not bitten?

After Lucifer and the fallen angels were hurled away from Heaven and landed on Earth instead of hell, because Earth was once paradise before the fall of man and Satan and his demons were sent there, if Satan weren't to persuade Eve to eat of the *fruit of good and evil*, would Satan and his demons live in earth forever and would have not been damned. Have any biblical scholars or theologians written the question following: **Would the Serpent (Satan) have dwelled eternally on earth if the fruit was not bitten?**