I still have lingering fears over what a society where children are a luxury would be like even if I already answered that. For those used to a more liberated lifestyle, this would reverse whatever efforts women gained through feminism in one way or another. So it’ll play out like Handmaid’s Tale complete with stricter gender roles.
Not that women will wear colours assigned to their jobs but it’ll function similarly. Those who are fertile and willing to raise children would be needed to birth heirs even if it gets risky moreso with multiple heirs in line. Since children are so valued that a stillborn baby is about as unfortunate as a sterile woman.
It’s already the case in other countries but would intensify for years to come, especially for the upper class to end up functioning similarly to a proper aristocracy complete with lower class people working for them in their communities.