I don't think it works that way. I picked up skills after my parents because I was curious and they were both knowledgeable in their respective fields(my dad,

I don't think it works that way. I picked up skills after my parents because I was curious and they were both knowledgeable in their respective fields(my dad, a medical equipment engineer, could repair a TV, which for a five year old amounted to a superpower). I was never forced to do anything and yet had the exact same headstart you're talking about, but in e.g. school math. Of course that did a lot of damage to my work ethic, but the point is that kids are naturally curious and, at least initially, want to do what their parents do.