"I'm not arguing there aren't inherent differences in the sexes, I'm asking you why you think the current representation of gender in the workforce is correct."

No. I'm saying we don't know whether the current representation is the "most natural", but what if it is?

Furthermore if you had looked through the video you would have realized that the entire basis of the documentary is an attempt to answer why labor force participation often becomes gender segregated. You say that it's because of lack of "encouragement", but maybe there's something else at play.