That's certainly a trend, but it's in relative terms, not absolute terms. The study also did not break the demographics down by religion, nor does it represent hegemony. They don't control the government or the educational institutions. Even further, the notion that religiosity in the West will be Christian is unproven.
Regardless, the kind of active suppression of contradictory evidence to religious narratives that was historically present from the early middle ages to the early modern period is no longer extant. The Church can put any discovered texts on a Novus Index Librorum Prohibitorum all they want, but that's not going to stop academia or the Internet from mining it.
Also, I can speak from personal experience with a traditionalist Catholic father, none of his many kids are Catholic. Having kids doesn't mean successfully keeping them religious.
Active information suppression in this era is mostly the work of governments and government aligned corporations.
Random question about the last point, did your upbringing involve nightly family prayer and thanksgiving? Or was the post war impact too great to maintain that tradition?