These have as much to do with ancient greek culture and maybe mindset as language per se. But even still, the choice is to elide them or let them be strange. There's no real way to carry the meaning through to english without it being striking, calling attention to the original.
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.
However, there will be cases where the original text will have lines that shaped the language and literature it came from and it would be remiss not to let the reader feel that texture, even if it is a challenge to read.
It's difficult to pick examples but an influential line like 'all that glisters is not gold' could be translated to the equivalent of 'don't be fooled by appearances' but that would just kill the imagery and poetic quality. I would want the equivalent of 'glister', I'd want it to express the shine and glow, I'd want the word to be archaic and I'd want the rhythm of the line to be there.
An adaptator getting rid of them to have more natural English will come up with way worse phrasing, while losing a lot of the nuance and meaning of the original text.
In a way, the reader undertands that it all happens in a non-English country, so getting unnatural English phrasing isn't much of an issue.