I just watched the first part of that and saw Norwegian researchers claim that there are no biologically-based differences in how men and women think. That's a rather strange claim to make, given the existence of hormones like testosterone and estrogen.
Maybe, but there's not a way how men and women think, there are as many ways as men and women are alive. You cannot define what's intrinsacally masculine or feminine in the way how humans think, only to handle averages and behaviors more or less common to one or another sex, without knowing which percentage in a certain conduct is social conditioning and which role play the hormones. In addition the hormonal levels, that unlike the behaviors or ways of thinking are measurable, vary a lot among individuals. In other words, some girls are bigger than others.
Certainly not all people of a given sex are the same, but there are clear predilections that exist, and I do not see how they are attributable to culture alone. Some women have more testosterone than others, but they all tend to have far less than the levels that are found in men. I agree that nature vs. nurture is not something that can be measured for the most part in this context, but to claim that human behavior is 100% nurture as these people did seems a little strange to me.