More to do with food and housing IMHO.
Give women other options than breeding, and they'll take them.
But 'there are too many people on the planet' is a worthless old trope.
There's no shortages of anything, and unlikely to be any shortages in the future.
Obviously farmers aren't going to work for nothing, and will need to be paid to produce.
Unlike in the past where there were few people, and a war, disease or crop failure could kill them all.
I always wonder why some people think there are too many on the planet, they can never answer why they think that. Apart from some globalist told them that.