I'm 30 and I would estimate that I've spent a few thousand dollars in my lifetime on bras that I've only worn once or twice because they just don't fit or wear correctly or they're so uncomfortable that they could be classified as an instrument of torture.
Women are willing to spend $100+/bra at Victoria's Secret and the quality isn't even particularly good (though it's miles better than Target). Victoria's Secret's main value to the customer is consistency. The product is consistently good, not great, but the sizes across all their products are far more consistent than any other store that sells bras. A good fit is the most important component to a comfortable bra. Victoria's Secret demonstrates that women are willing to pay a premium to be able to confidently buy a bra that will probably fit and won't be terribly uncomfortable.
Bratheory is offering women the ability to confidently buy a bra that will definitely fit and won't be uncomfortable. Is $350 a premium? Certainly. But not that much of a premium considering the value proposition for their customers.