I think you're missing a detail. The studies I've read generally found that it doesn't really matter which option you choose from a list of active/intensive/interested options, they'll all produce good effects. But neglect, indifference, and lack of involvement are not on that list. Neglecting your child vs being involved and supportive certainly has an incredibly large effect. In fact, quantity of parental involvement is probably the #2 predictor of a child's success later in life, with #1 being family monetary wealth.