If i now correctly understand Bod's intended premise of his OP, it isn't funamentally about child support payments per se, but rather inequalities in men's choices based primarily around a woman's right to, at her discretion, have an abortion OR use a "surprise pregnancy" to unfairly manipulate the "system" to her advantage, which can usurp men's choices and unjustly force a long- term financial involvement in the form of child support.
And I truly hope that I've got it. If my "newest" perception of the topic is on track THEN:
This scenario has been an ongoing complaint by men for many, many decades. I would bet that very few men have not been exposed to media reports, articiles, and even televised episodes about the topic that discuss on delineate the various claims of inequalities. There are "Father's Rights Groups organized across the country.
That said...the above would be virtually impossible for men NOT TO KNOW PRIOR to having sex...that if an "untentional" pregnancy occurs", there will be a real possibility that he will be required by law to participate in the support of the child if the woman "chooses" to have the child.
MY BET IS IF ABORTION WAS ILLEGAL - MANY men who claim to be PRO-LIFE, and didn't want the soon to be unintended child, they would searching desperately for ways to circumvent or abandon responsiblity for paying support for the child that they co-created.
if abortion was illegal, the birth of 1 million additional kids born each year, they would become victims of tens of thousands of pro-life men who would STILL be decrying social and legal inequities and fight to avoid being financially responsible, which would substantially jeopodize the long-term welfare of all of those "Unintentional or Unwantred" children.