I think the real explanation goes back to the Restoration. Charles II and his court wore 17th Century cavalry boots, which were high-heeled as a means of ensuring that the foot stayed in the stirrup, like the modern cowboy boot; this style carried over to women sometime in the late 18th or early 19th century (women's shoes for most of the 17th and 18th centuries were delicate rather than high-heeled; there's an anecdote, I think in Fernand Braudel's _Structures of Everyday Life_, of a lady complaining to her tailor that her shoes had disintegrated; the tailor examined them and replied that of course they did, she had walked in them); and once high heels were established as a female fashion, a sort of sartorial folk etymology came along to explain their popularity.

This is why I don't have much respect for contemporary fashion; the extent to which it's dominated by accidents of English history is even greater than that admitted in the article.