Story is based on general numbers, not specific comparisons between similar people in similar jobs and similar time in the workforce. They only look at basic job titles and gender. But a bank manager at a large bank compared to a bank manager at a small bank would be completely different even if they shared similar job titles.
So no, Women do not make less than men for the same work, and on top of that, if we were to be honest and shift incomes earned by men and handed to women in one form or another we would see that in general, Women are way ahead.
It does not really matter who earns the money, all that matters is who spends it.