I have a first born daughter and I like to think about the "romantic" aspect of this: my heart opened when I first saw her, of course it will affect me permanently, in a subconscious way.
There is no way such a big emotion won't affect a person.
"We find that women’s relative earnings and employment increase by
4.4% and 2.9% respectively following the birth of the manager’s first daughter. These effects are driven by an increase in managers’ propensity to replace male workers by hiring
women with comparable education, hours worked, and earnings."
Note that the OP links to a version from 2021. A version dated October 29, 2025 is here https://maddalenaronchi.weebly.com/uploads/1/1/7/4/117435661...
Marginal Revolution post https://marginalrevolution.com/marginalrevolution/2021/11/da...
Podcast with the author https://www.thevisiblehand.uk/episodes/episode-27