Well, gender is not a social construct. It's a biological, psychological _and_ a social construct. There are very real gender differences in gender-related behavior that start before the age of 3. This is a fascinating topic in itself, the cases of biological/psycological mismatches are particularly interesting.
ex-USSR countries often have high percentages of women in hard science. And that's not just a fluke, but a result of deliberate policy of attracting women to scientific and engineering disciplines.
For all its faults, the USSR had been extremely egalitarian.
Russia is my home country and I'm a mathematician by education. About a half of my classmates in university were women. And they were definitely as good as men in all classes.
So yes, I'm sure that this initiative could be successful. Even though it alone is unlikely to change much :(