Birth control usage is slightly down since the mid 90s. Among sexually active women not trying to get pregnant, the rate has been flat since 2002. https://www.guttmacher.org/fact-sheet/contraceptive-use-unit...
Women’s labor force participation rate peaked in the late 90s. https://fred.stlouisfed.org/series/LNS11300002
It’s hard to see how a stronger social safety net would decrease birth rates, but that has actually also decreased, e.g. from welfare reforms in 1996.
Meanwhile, total fertility is down ~20% over the ~30 year period since then.