It could be true, and if it is then we need to think about equality in a different manner, I suppose.
I strongly suspect that the vast majority of the differences are cultural in nature -- in fact I suspect that patterns exposed through culture that are identified as valid by the brains of the people experiencing them are biological differences, but they're not biological differences in the sense of what makes us a species (only that what people hold in their head about themselves and about how they should or shouldn't act, or what is masculine or feminine is stored, at some level, in a biological manner).
It really seems to me that the "classical" differences between "males" and "females" were really probably rather useful for a good chunk of humanity's history, and that they're really fairly useless now, and that people are recognizing that.
On a related note, gender and sex are a fuzzier topic for most than they were 10 or 20 years ago.
I freely admit that I do not know where the line between what part of a persons mindset is nature, and what part is culture lies, nor am I fully aware of of how they interact. Based on what I know, I strongly suspect that the vast majority of most peoples mindsets is based on culture -- based on patterns that they've seen since they were born that their minds recognize as valid (since that seems to be what our brains do).
I would suspect that if it was true, to a degree that would make it relevant for this company, that we wouldn't have had huge women's rights movements, and that feminism wouldn't exist. I suppose one could take the view that women and men are still somehow intrinsically predisposed to being better or worse at this or that, but have been able to be annoyed by it by being capable of higher-order abstraction, but I really doubt that that is the case.
I also don't think that the species is static -- that is, if there are said intrinsic differences, and our survival situation changes enough to make them redundant or change them, adaptation will happen. There's a large part of me that thinks that "you can't fight biology" is a hell of a cop-out for humans.
Eh, it's a can of worms really. I do work with the assumption that gender inequality is vastly more cultural than not. In fact, I work with the assumption that it is - for all practical intents and purposes - entirely cultural.
I could be wrong. I don't think I am, and I hope I'm not.