I'm as big fan of "rose-fingered dawn" (forgive my lack of imagination) as the next nerd, but that always struck me as less about greek itself and more about the evolution of western language before the widespread use of writing. Little of the rhythm and rhyme can translate directly; it's more of a conceptual translation, which could just as easily be done with Mandarin or Yoruba, if one gave them a greatly reduced diction compared to contemporary speakers. English is simply poorly suited to convey how
nice these epithets roll off the tongue and why they're leaned into so heavily.
Granted, the languages I speak have so little overlap in text it's actually quite difficult to imagine translating between them without a great loss of meaning and tone. And if you look at something like Tang chinese poetry (let alone something truly ancient) translation becomes a game of "which aspect of the linguistic dynamics here are worth communicating to english speakers?"
So, I'm not sure the "language" punches through so much as you see innovation in the use of english to convey virtually-impossible-to-translate tone and rhythm and wordplay—but it's still relatively contemporary and idiomatic english, or it would simply not reach most readers. Though somehow superlative translators manage more than I thought was possible.... sometimes it feels like reading shakespeare at great effort and difficulty is the closest english-only-speakers will come to understanding how constraining a language modern english is for formal poetry.
Prose is much easier.