It is this growing older than his own renown, then, which renders this immortality something other than an incorruptible agelessness, hence something suspect and to be rejected.
There is clearly a discrepancy around this word specifically, ἀγήραον, not growing old; and it may well mean something. Not completely necessary though: it’s true that what Calypso tells Hermes is only reported, while what she tells Odysseus is ostensibly itself what’s at stake,
Today we are arguing about whether or not Calypso actually offers to make Odysseus immortal!
[the answer is more, um, complicated than you think it is!]
with Calypso, he is alive over and beyond his own having become story; his life from now will be completely inaccessible to this, his afterlife of story and fame, and so a languishing, unthinkable for a hero, even as it is in the presence of the goddess.
@backlovere I can still parse this out (both what you say and what op says) in too many ways to feel like I really have a handle on what you mean, can you say a bit more?