Put three official series next to each other. The essay already uses Finland and Korea as set pieces. Italy is not on the page.
Korea, Ministry of Data and Statistics: period TFR 1.24 in 2015, 0.72 in 2023, 0.75 in 2024, 0.80 in 2025. Births 254,500 in 2025, up 6.8 percent, which they attribute to delayed COVID marriages and the 1991–95 echo-boomer cohort hitting the early thirties. Seoul was 0.63. That is a timing bump on a floor.
Finland, Statistics Finland, 24 April 2026: 1.87 in 2010, 1.25 in 2024, 1.30 in 2025. First births were up 7 percent in the rebound year. Turku and Tampere averaged 1.03 over 2022–25. The leave-and-daycare stack was already built.
Italy, ISTAT Indicatori demografici 2025: 1.18 in 2024, 1.14 in 2025, 355,000 births. 2024 already sat under the 1995 trough of 1.19. Italy did not spend like Korea and did not build Finland's stack. The series still went the same way.
A margin story has to explain all three. A "the transfers were the wrong size" story does not.
The competing account is preference collapse: people stopped wanting children, so architecture is beside the point.
Those three series do not settle that. They do change what the preference story has to buy. Italy had no Nordic hardware to fail. Korea had hardware plus cash and still went through 0.8. Finland had the hardware first and then the drop. If "want" is the unique node, you need a want-shock that hits all three at once and is not just the blocked path felt from the inside.
The two accounts split on tenure. A preference reading predicts owners and renters revise in the same direction when house prices move. A margin reading predicts renters cut expected births when prices rise and owners do not — they just got richer on paper. That is a different observation, not a better sermon.
Cash in Korea is not a zero. Wookun Kim, Journal of Human Resources 2024, uses district-level baby bonuses from 2000 to 2015. Without those transfers, 2015 TFR would have been 4.7 percent lower. A 10 percent more generous bonus raised first-birth rates 0.58 percent, second 0.34, third 0.36. When a district raised the second-child bonus, first and third births did not move, which is his case that this is not only timing.
4.7 percent of 1.24 is about 0.06 children per woman. The later fall to 0.72 is an order of magnitude larger. So cash did something real, at the margin, in the same country whose national rate then went through 0.8. That is a measured effect with a denominator, not a parable about cheques.