If it did, Arabic countries would've been the most developed countries ( even when war torn countries are not accounted for, like Pakistan ).

Instead it is the Nordic countries which are the most developed, where women have more freedom than any other part of the world.

And for one hundredth time declining birth rates have nothing to do with hypergamy, i live in a conservative country and the fertility rate in my state is 1.6, on par with developed countries. Decline in birth rates is caused by wide spread availability of cheap contraceptives.