Andrew Have you considered that religion comes in different forms?
E.g. deep believers, but also "social practitioners that go a couple of times to the Church for old traditions".
(The fact that our "believers" are mostly the second kind, might be a reason why we need to import Polish priests π )
Any way, that way you can have the funny situation that you have a society that might fill out on a survey "not very religious", but at the same time show preferences for traditions that would make a Jesuit wince about the medieval mindset. (Abusing the cheap preconceptions here)
BTW, I just described my in-laws, and according to my wife they are one of the most progressive ones in their village. (After the decades, I sadly have to agree, about my in-laws and about them being progressives in that hellhole,)
More general, a normative authority might influence a population even after it stopped being a normative authority, think for example about the end of Communism in Poland, it took also a generation (or be honest, more than one), before certain mindsets were gone (e.g. the need to "organize" stuff) from the general population.