Vasectomy has been around for decades, surgery is clearly not appealing to single men, the pill is.
The female sex is not programmed to give sex for nothing, once they know that men are bulletproof and untouchable from any legal issues or consequences, then they will want to figure out some way to end that totally one way street.
My guess, is that they will go back to the timeless patterns of history.
You say that "women would want to end that totally one-way street" --- but how would women have the power to do that? If the sterile male can remain sterile as long as he desires, she's out of luck. His choice to make himself sterile will not make him more attachment-oriented, more hubandish (thus she'll be emotionally frustrated), it will not make him more family-building-oriented , more fatherly in character, habit and personality (thus she'll be maternally frustrated) --- and she won't be able to do a dang thing about it.
What in heck could she do?
He'll stay a cripple of a man ---probably go to whores or online porn --- and she'll pursue her career, save her money, buy and furnish a nice little home, and adopt a dear little girl from China.