[Citation needed]
I don't have have reliable scientific evidence either way, but my speculation is that the vast majority of differences in outcomes between kids can be attributed to: genetics, nutrition, parental wealth, and education (in that order). I've found no reason to believe that "hav[ing] an active role in your child's life" (versus hiring good nannies and teachers to do the same), has much long-term impact on kids. Sometimes, when I'm cynical, I think it's a kind of moralistic conventional wisdom that's mostly perpetuated as a way to keep women "in their place."