I might have missed this in the scroll format but is there any reason not to drop the qualitative size names and just use an actual dimension or two?
But the reason even that isn't done is mostly history and market expectations. There are clothing categories that sell in actual dimensions, and (aside from the terrible dimensional accuracy of clothing in general) it works fine. But those are all on the "men's" side, and it seems the industry believes women will not like buying based on actual numbers.