I guess I do not know enough about South Korean fertility to make a credible claim, but if most of the fertility decline is due to birthing children at older ages, then I would file that under the same category as women gaining financial independence and ability to choose when to have kids.
Women basically saying in order for me to risk what I have to risk to have a child(ren), I need <x> security first. Which can manifest as working to save and achieve higher income levels instead of having kids.
But I suppose there could be a huge environmental or whatever biological factor causing reduced pregnancies. Marriage rates might help tease this out.
https://news.ycombinator.com/item?id=32580631#32588473