The contrary findings section on Wikipedia starts quoting a 2002 article. Could you point to which part exactly you find more compelling?
Education and contraceptives as the article I linked are separately correlated and powerful, as is religious adherence. They're all factors. Note that each of these factors is differently important in different countries or regions, so just because you found a study that shows a positive correlation in the Netherlands that it is in isolation important or that it would work the same way in the US.