I think that parents have less control over how their children turn out than is generally believed (hoped?). But there's no doubt parents do have some influence. Sofia Coppola, daughter of Francis Ford Coppola, tells a lovely little story:
Now, looking back at all the time spent on her father's sets, including the Philippine staging ground for "Apocalypse Now," it seems to Sofia Coppola that "we were always, like, in training for film. I remember him talking to me about screenwriting when I was a little kid, telling me what made a good second act. Who talks to a 12-year-old girl like that?"
One father did, and one daughter remembered.