Meteion's goals are multifaceted. She does desire to hasten the end to existence, and the cycle of life, death, rebirth is an obstacle that she ultimately doesn't have as much control over as she would like to have. She can't truly obliterate a soul, but she can prevent it from returning to the Aetherial Sea where it will be born into a new body. Those who succumb to dynamis are stripped of their corpeal flesh and their soul taken to the dead sun, where it will stay until the eventual heat death of the universe. I think this method is given to us when she offers Hermes to go with her to the edge of existence. She was going to honor him with being her egg's first resident.