Trying to ascribe causality on macro/global level when the interesting tidbits are certainly on the regionalized scale seems mostly useless, although somewhat there is irony in again a man writing about why he thinks women having less kids than just going around and getting actual data points that aren't capture by societal level statistics. I think the undeniable trend is caused by economics especially in the western world. It's more expensive to live than ever, and kids are very expensive when you factor in cost of living and lifestyle adjustments.
This sort of essay is farcical in ascribing economic stability as "status" - which of course has a negative connotation of seeking status, but suppose thats on track for a man writing an essay about this. Women( and men) need to work now because single incomes are not enough, and women biologically have larger burden in child rearing regardless. Economic incentives for child rearing are a joke, much like most policy that ends up more as a panacea than a solution - because none of it targets the other huge correlation we see, the growing level of inequality of wealth where the top n% is accumulating more and more. One need not look at number of lawsuits regarding women getting fired or laid off from work for needing/taking maternal leave. In the US you often need to be tenured for a year to qualify for it. These are all economic issues at it's core, and the tautology to it being status seeking is an damaging one in and of itsef.