I remember reading somewhere that job of a parent is to teach the kid how to swim. It is a terrifying proposition since I am not always sure I know how to.

I mostly agree with you. But I also know there is a blurry line there. For example, I did some stupid stuff as a kid and it is a good things parents were there to intervene. I would not call their concern for my risk taking in that instance to be arrogant today.

But that is my perception of my individual upbringing. I have no real knowledge how parenting looks 'on average'. I know I was lucky in some ways; unlucky in others.

This is where it gets complicated, because the advice we get for parenting is a generic advice for a typically specific issue.

I am writing this as an expecting parent so take my musings as just that.