I certainly don't think anyone could say girls aren't tuned to the type of thinking need to SOLVE a cube, and I don't have the information to judge what sort of (if any) general advantage any one sex would have over the other in cubing.
I remember an experiment at US Nationals 2006 at the Exploratorium where there is a grid of maybe 15 green circles moving around randomly on a computer screen. Anywhere from 3-5 of these circles are highlighted in blue for a period of about 5 seconds or so, after which they fade back to the same green as the other circles. Your task is to track the motion of all the circles that were originally blue for up to maybe 10 seconds.
I remember the experimenter saying that typically women perform higher than men on average, and this has something to do with how women think vs. how men think. Anyway this experiment got me thinking about intuitive steps like F2L. If anything, it's probably more true that women, on average, have better potential than men, on average, to track pieces during these intuitive steps which involve lots of mini snap decisions.
I also think that the reason far fewer women are speedcubers than men must be societal or cultural in nature, and certainly not related to ability.
Chris