No, what it shows is that women choose different careers that overall yield the ratio you cite. Everyone already knew this, the point is that such a statistic is misleading.

The authors also conjecture that this is due to cultural biases, but obviously cannot prove this.

For instance, their overview that women arrive in college less interested in STEM, and they hint suggestively that this is due to discrimination. Except this hypothesis doesn't at all explain the gender equality paradox; in fact, it predicts the exact opposite of what we see.

Normally in science, a falsification this strong would immediately dismiss a hypothesis as a viable candidate theory. It's suggestive that it hasn't.