Eternity means unchanging. However, when it comes to “eternal life”, it has to be changed. Therefore, in this case, eternity means that the life will pass on to the future. Inheritance, succession, or handing down. Since it will be passed down to the future, ‘now’ is important.
Every living creature has to die someday, so it is natural for everyone to wish to live a longer life, even for a day. On the other hand, diamond can indulge oneself in eternity as long as it likes; although the component of diamond is the same carbon as other living creatures. Water also has existed without changing from 3.5 billion years ago until now, while it changes and improves the passing moment.
It should not be changed from now on either, because the change of water means the change of earth.