Normally, unless done really badly, initiatives like the one described here will have a significant positive effect.
More interesting studies follow the pattern of comparing different potential initiatives, or even better, comparing a surprising initiative with an obvious one. E.g. some studies have indicated that giving school children chess coaching improves their maths scores more than extra maths lessons.
That said, I'm hugely grateful to my parents for being very involved in reading aloud and telling stories while I was young. I'm convinced without the results of this study that there was a huge positive effect.