This seems to assume that the only way to measure or achieve equitable hiring is to measure the representation of identity groups across a given position and make sure it tracks their makeup in the general population. It's not clear to me that there aren't other acceptable methods of trying to make things equitable.
For example, you could check that applicants from different identity groups succeed in being hired at about the same rate. That's a practice that should direct an organization towards equitable results whether the reality is that women are underrepresented because of sexism in hiring or the reality is that women are represented in different proportion because of the endeavors they tend to prefer. And also for a reality that's a mix of both (which I suspect is the way of things).
Also: if the primary accepted standard becomes to match representation in a position with an identity's representation in the population, it seems pretty likely that over time it would become more difficult over time to predict a "natural" ratio.