Using these concepts for a property, could one say that the curb (kerb) appeal of a house is akin to its mythos. The practicality of its layout is akin to its logos. If both are high, then so is its market value.
(Much the same criteria could be applied to personality.)
The logos did not for the ancient Greeks follow after the mythos, the two were seen as always there and side by side. And at no time did they ever consider illustrative metaphors made in philosophy, to be part of the mythos, they were always firmly a part of the logos, and using them is not an entry into mythos. The mythos never really meant simply myths, in our sense of the word, nor heritage, but rather emotional and intuitive understanding, instead of the world of rational thought. The meanings of the two words, were much richer and more nuanced than that.
Moreover, nobody that I know or have heard of, rejects, or even feels the need to actively accept, metaphor and story telling as parts of science and philosophy, or indeed in general. That would be very strange. What most people do is to be selective, ( Selective is different to cherry picking. ) and to reject only old inherited myths and stories, which carry messages, ( racism, misogyny, the glorification of violence etc. ) they no longer regard as good or true. Including especially the myth of golden age wisdom, and that inherited thought is somehow better than modern thought, which idea is an overarching myth covering many others. To suggest that accepting or rejecting story and metaphor, is or could even be an issue, is like saying that accepting and liking technology, means that you should give yourself a half hour in an electric chair. To use a metaphor.
You covered it pretty well the first time around. Mythos tells a story and Logos is the word or logic in that story. Our world today has much myth and very little logic. The problem is that the mythos seems to think they are the logos. People tell me of strange "out of nowhere" websites to back up their nonsense and often say the man talking on the site is a former CIA agent or governmental high up. For all I know a couple from Berger King decided to start a website. Maybe the guy was a fry cook.
Antonyms of each other…Myth v Logic (Reason). Put otherwise…a belief in supernatural beings v using logic and reason to discount their existence.