While I agree that the current state of knowledge is that the pay gap is much smaller but existent (the report you link cites 4.8% to 7.1%) after adjusting for job placement etc., it's absolutely a matter of politics and not data that "there may be nothing to correct" and this is the result of "individual choices". If well-qualified women have a harder time being respected and selected for promotions than equally-qualified men, you'll see an effect like this. If well-qualified women know that it's not worth their time to compete against equally-qualified men, you'll also see a similar effect. If couples of ambitious women and ambitious men generally end up favoring the man's career path, you'll see something that looks a lot like "individual choices," but in aggregate is really the result of gender roles.

I do, however, agree that there may be "nothing to correct" in the sense of simply giving women raises to correct the apparent wage gap. If the wage gap is a side effect of an opportunity gap or trust gap or whatever else, we should be focusing on fixing that.