I think the article makes sense for me. IMO, a 10x decrease in mental load at an affordable price would be the key. Examples:
* You can bring and pick up the kids at the daycare/babysitter every day of the week, every time of the day.
* Household chores take at most 10 minutes a week.
* High quality school and education standards are available everywhere
(Probably there's more)
I think that if such problems would be cracked more people might consider having more kids. I think at the moment these problems are easily solvable with a lot of money, so it would seem that kids have become a luxury good. So affordable support for the masses might be an answer.