Following many of these experiences, I though it always appropriate to ask probing questions, and continue to ask them until I understood a problem or situation fully. This attitude continues to this day, though curbed in some social situations. I'm not sure whether this persistent character trait is correlated with my parents behaviour or caused by it.
I distinctly remember feeling quite angry during my first "adult" interactions with many of my friend's parents. Most had equal or greater education than my parents, yet when queried about aspect of their field that I knew they had deep knowledge of (eg. Ships engines from a Marine Engineer, Offshore tax havens from a Tax Accountant), they'd be very hesitant and often express "why do you ask so many damn questions?"
In hindsight, perhaps this result was in part due to my lack of social awareness and emotional intelligence, but I swear it's imbued their offspring with fundamentally different characteristics. My friend's that had parents such as these have tended to follow more qualitative pursuits (Musicians, writers, journalists) while those with parents similar to mine ended up in strongly quantitative fields (Engineering, Maths, Science).
Obviously my experience is a single sample from the distribution, yet I wonder if others have observed a correlation between their own or others parent's attitudes towards answering their children's thorny questions and life / career attitudes? Perhaps it simply comes down to genetics?