The law is a trainwreck. What a great parting gift for conservative control of the House!
Here will be a major unreported impact of the law. The major tool for increased compensation in the private sector and some parts of the government sector is competing job offers. An employer who makes or responds to a competing job offer may be in violation of this law however. This strategy requires mobility so I believe that men can more often take advantage of this strategy. Employers may be forced into increasing salaries of women employees if they want to hire or retain male talent. Employers will most likely respond by curtailing competing job offers and moving work abroad to seek top talent. This law will increase the cost of top US talent except perhaps for female top talent.