The core difference between luxury and high-fashion is luxury looks back (founder's myth, craftmanship), while high-fashion looks forward (innovation, creativity). Of course, there is a lot of crossover and brands shift back and forth over time. I'll argue that luxury and high-fashion exist in a sort of Venn diagram like this:
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The issue is that it's easier to judge an item for its material value than for its conceptual value, so the more material appeal of luxury has somewhat swallowed the more abstract values of high fashion, leading for audiences to believe that every brand with a runway show and a premium price point is a luxury brand.
I agree totally with what you wrote.
The diagram is also how I see it, except that I would change almost all the names! 🥳
For me, under Luxury are all the brands... that are not discussed in The Fashion Spot 🤣
Hermès, Zilli, Brunello Cuccinelli, Loro Piana... Part of the DNA of true luxury is not to be controversial. It's almost secret.
High Fashion are the ones that bring something new to the art of covering naked bodies. They make you admire them or they leave you thinking.
Comme des Garçons, Yohji, Margiela, Dries, Viktor and Rolf...
And then there is the intersection of the two: heritage houses with mostly a couture or leather goods DNA (and usually doing both)
Here you have the Chanel, Dior, Loewe, Balenciaga, Gucci, Prada...
The difficulty here lies in keeping a balance between the sense of exclusivity and excellence (conservative values) and the looking-forwardness inherent to fashion (revolutionary value).
In the last ten years, most of them failed at doing that.
Paradigmatic of destruction of the mystique of a house is the case of Dior.
On the luxury side, news about sweatshops in the Toscana making the bags for a tiny fraction of the retail price.
On the fashion side, the most boring fashion shows that one can remember.
Props to them for still doing money after anihilating Dior's aura.
And then you have many RTW brands (not intending to sound derogatory, I prefer Ami over Zilli).