YOur points about the influence of style and design on the relative prices are completely irrelevant.
Silk has inherently more value than cotton and a garment of silk will always cost more than an equivalent garment of cotton.
To see how true that is, compare something where style is largely irrelevant and the value of the material is paramount:
Silk sheets are much more expensive that cotton sheets. And the reason that people are willing to pay for that is the feel (none of your friends or neighbors are going to see you sleeping on silk sheets (well, except for, hopefully, a select few).
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