I thought Hebrew terms were to be translated into English in mail-jewish. In many ways it makes sense. But, there has been a change in society. One possible answer to your question is that your premise is incorrect. In other words, men need these mitzvos to come closer to Hashem.
Women already are there.
There is no way to model the infinite with the finite. So, the reason you were given for women's exception from time-specified obligations is at best only part of the real Reason. Halachah would not change just because one small peice is different. As such, women's exemption from these commandments would be because there is something about time that women need less work on then men. Becuase of their biology, women are more in tune with the flow of time than men.