Yes and no. Maybe I should have quoted the following part of the parent's comment:
> whenever civil protection and economic freedom gives them any semblance of a choice, the number of children they get goes way down.
Which is clearly falsified by the link I posted.
I certainly agree with you that the economics of raising children is not right in western countries, but this still doesn't deter women from wanting more children than they're having, so I don't think it's at all fair to say that fewer are willingly choosing to have them.
If it was a good deal, women would have more children than they want because the economics were right