Yes. And me pissing you off got you to read the paper, which is awesome.
The authors do believe that these might be evolved patterns. Given the current state of knowledge, that is a reasonable hypothesis. That doesn't mean that it is correct. It also doesn't follow that this is a sexist position. To acknowledge that I have certain 2ndary sexual characteristics and my sister has others AND that these are evolved is not sexist.
I know a number of bioanthropologists that believe it can be attributed to cultural factors. Fact is, there is not enough data to really prefer one or the other. I prefer a more complex interaction . . . cultural/evolutionary neuroscience tends to happen this way. In fact, the data in this study imply complexity. A certain element is probably evolutionary . . . and some aspects of it are definitely ontogenic or 'cultural.' As far as I understand the literature, this is related to which hormones you are exposed to in the womb. It is important to note that it is not a simple issue of male or female. In some cases, females are exposed to elevated testerone levels and vice versa.
Also, there is more than one way to skin a cat (if you are in to that?) . . . you can have very similar cognitive outcomes and behaviors emerge from differently structured computational systems. In other words, it could be the case that these differences don't matter. Based on evidence from paleoneurology and comparative neuroscience, I don't favor this hypothesis. But it is a real possibility.
But my point in dealing with colleagues and others is this . . . there is a real pattern (in this sample). The pattern (in this sample) is not sexist. I don't believe that the scientists were (She is a woman!). If we are talking about the media . . . some of the coverage definitely is. This could be do to active misogyny or to an oversimplification of the results,
If we are concerned about how the media uses these results, that is another and more difficult issue. But there are inconvenient truths. I don't know how denying them helps anyone.