Are you kidding me? Ending up with the kid after a divorce takes opportunities away too. It’s what is expected of most women and in my mind contributes to inequality tipping job opportunities and hirability in the favor of men.
Then - as a long as you are a woman in court - you can always say "I don't want these kids". Bam, they go to the father. That's exactly how it happens in the courts in the US. As easy as that. Contrary to what you claim, somehow never happens. Over 90% want the kids. And I'm not surprised. Somehow they want it all.