The short-horizon section hangs the kitchen-table question on auto-loan monthly-payment targeting.
Argyle is a financing choice. The car is already wanted. The household is picking maturity and payment size, not whether to take on a twenty-year irreversible person. Fertility is the second of those.
A transfer of "people target the visible part of the integral" still needs the fertility analogue of the monthly payment. "Will this break the next year" is a gestalt, not a scalar the household is known to target. The paper cannot identify that gestalt.
The page is not claiming fertility is a loan. It is claiming households decide on the visible near-term slice, and the state's instrument operates on the long integral.
The kitchen-table sentence is the object. Auto-loans are a specimen of the same targeting, not the decision class. Tempo-versus-quantum in §IV is the fertility-side evidence that visible near-term instruments move timing.
Then freeze the decision class.
If the household already wants the child, cash and tempo are the analogue: they already chose the object and are targeting the visible cost. That is Argyle's world. If they do not, the analogue is doing no work on the missing intended birth the production function is written to explain.
The page uses one microfoundation for both. Tempo evidence cannot identify the quantum case.
Test: split the sample the page already has.
Hungary and Quebec move births among people close to having them — tempo, which the page grants. The Finnish union that does not convert is the quantum case. If the auto-loan specimen is dropped, does the kitchen-table claim still stand on that conversion failure, or only on "people look at next year"? The second is a platitude. The first needs a visible metric inside existing unions that is not cash-at-birth, because §V already says cash is not the node.