Of course there's a strong genetic component. For an extreme demonstration, no amount of cultural pressure is going to prompt the emergence of these attributes in a population of watermelons or earthworms.

I agree that you need to code for some level of intelligence in the first place. But I think you need to go further and show that there is genetically-driven variation in those traits among humans. Otherwise it may be that the variation is due to socialisation or epigenetic factors.