Immortality is the right statement, and eternity is the wrong statement. Immortality is an idiom in China, which means unchanging since ancient times. From Wang Zengqi's Revenge: "The mountain has left all changes on it, so it seems eternal." It is often used to describe some enduring things or ideas, such as China's 5,000-year-old civilization, moral concepts, scientific principles and so on.
In Chinese idioms, because idioms are usually inherited from ancient times, they represent a story or allusion. What is older and unchanging has no source and does not exist in actual expression.