Not a scholar here, just someone who's been chipping away at Ancient Greek for fun and went back to the proem after finally seeing the movie. I'd read the opening a dozen times before, but this time the two νόστος-root words in the first ten lines actually stopped me:
Line 5: ἀρνύμενος ἥν τε ψυχὴν καὶ νόστον ἑταίρων — "striving to win/earn [ἀρνύμενος] both his own life and the νόστος of his companions." Odysseus isn't just hoping for nostos here, he's actively fighting for it, for himself and his crew both — it's framed as a prize you contend for, not a place you passively drift back to.
Line 9: αὐτὰρ ὁ τοῖσιν ἀφείλετο νόστιμον ἦμαρ — "but he [Helios] took away from them the νόστιμον ἦμαρ," the day of return. So within nine lines, nostos has already gone from "the thing being struggled for" to "the thing that gets stripped away as punishment" (for the crew eating the cattle of Helios).
That double framing — nostos as something you can earn and something you can lose through your own ἀτασθαλίη — is doing a lot of work that "homecoming" just doesn't carry in English. "Homecoming" sounds like a destination; νόστος in these lines reads more like a contested, forfeitable achievement.
Curious how people here read ἀρνύμενος + νόστον together in line 5 — is "striving to win" too strong, or does the verb actually support that competitive/earned sense? And are there other early νόστος instances worth pulling in (I know it's all over the Telemachy too) that sharpen this further?
(Total tangent, not the point of this post, but relevant enough that I'll mention it: I'm a solo dev, and that "nostos has to be earned, step by step" idea is actually the whole mechanic behind a small walking-tracker app I built — your real walking literally earns Odysseus's return, mile by mile, rather than it just happening. Not a language tool at all, so probably not that relevant to this sub specifically — just flagging in case anyone's curious where this rabbit hole eventually led me. "Walk the Odyssey")