The article's core assertion seems to be: "The 23-cent gender pay gap is simply the difference between the average earnings of all men and women working full-time. It does not account for differences in occupations, positions, education, job tenure, or hours worked per week. When all these relevant factors are taken into consideration, the wage gap narrows to about five cents." What you've said contextualizes that claim, but does not refute it.
The article's core assertion seems to be: "The 23-cent gender pay gap is simply the difference between the average earnings of all men and women working full-time. It does not account for differences in occupations, positions, education, job tenure, or hours worked per week. When all these relevant factors are taken into consideration, the wage gap narrows to about five cents." What you've said contextualizes that claim, but does not refute it.