The question is simpler than the answer I must admit. 
We have to understand what leaving means.
In desi culture girl ‘leaves’ her family.
In non-desi or western culture man ‘leaves’ his family on practical basis. (maybe same in Arabic or other cultures)
Now leaving still needs to be defind, meaning losing ties, not being bothered with their problems or becoming handicapped to do anything significant to help them.
In western culture, men ‘have to’ or are ‘expected to’ become indifferent to his family and in desi culture it is opposite.
…And I think it is not the issue that men or women leave their respective families.
It is more about the families come to reality and leave them alone and do something to help them grow together rather than clinging on to them. (Off course that was not my question in the beginning)