Correct! In Homer's account Asclepius seems to be a mere mortal, albeit a highly skilled one. He doesn't appear in the Iliad himself, since presumably he was born somewhat earlier. According to tradition, his fellow students under Chiron, Heracles and Jason, were of this previous generation, as were all the heroes who sailed with Jason and the Argonauts with the exception of Helen's twin brothers Castor and Pollux, or Polydeuces. The twins' presence on the ship is another one of those cases of the unreliability of mythological chronology.

Instead of appearing as a character, Asclepius is merely mentioned in passing as the father of two of the Greek army's surgeons, Machaon and Podalirios.