To a certain extent - but once they'd removed size-based measurements, they were getting it wrong about 1/10th of the time. And these were adults, who have been through 19+ years of societal training to grow different bits of their brains, so it is a little self-fulfilling, and not (to my mind at least) 'highly accurate' as they say.
This is pretty much what I was about to say. (A lot of my day job involves calculations of skill for various ways of predicting things...)
What they're saying is "We can give you a system for betting on the horses which will enable you to beat the bookies on average - so even if you lose on one race, you're quids in on the other 9."
Basically, their proposed test has both low sensitivity and low specificity - Ben Goldacre wrote an excellent "Bad Science" column on this a few years ago:
www.badscience.net/2006/12/crystal-balls-and-positive-predictive-values/
Now admittedly, their test is at least not working with a "condition" which has a low incidence in the population - 51% of us suffer from the "condition" of being female, after all. But you have to ask "what are they going to say to that one girl in every ten they test who comes out as having a male brain?"
"Oops, sorry, you're actually a man?"
Or
"Oh dear, you seem to be showing masculine neurological traits despite being female, here are some pills to fix your improper brain function?"
Or perhaps
"Oops, sorry, our test is a bit crap. It works at a population level in the sense that if we're being asked to place £5 bets on every brain scan, with odds in the absence of any extra knowledge of 51 to 49 on, we'll make quite a lot of money, but at an individual level, it's actually a bit crap, because we can't guarantee that the sex our test thinks you are is the sex you actually are."
(Put it another way, you could do exactly the same with height. Average height for a woman is about 5'4", for a man is about 5'11" - consistently bet your fiver on "male" every time someone comes in with a height of over 5' 7 1/2" , "female" the rest of the time, and you're quids in over a long run of people. Still doesn't mean there are "male" heights and "female" heights).