i didnt exactly understand what do you mean by this dependence but whatever form it might be, i dont totally agree with you
if you are saying on the basis of what we observe in day to day life, then yes it is but lets not forget the fact that this reality is socially constructed and wmen, directly or indirectly as are inspired to be dependent on brothers, husbands, fathers and son, are taught to get a green signal from these males before really coming into action. so you ar true if only this statement just reflects the societal spectrum.
but i dont think that this statement really works in the level where this social construction of reality ends. dont you believe that this dependece is eroding significantly with every sucessive generation? if dependece would be such a natural tendency, then why would i become drastically less dependent on whoever my male near ones are vis a vis my mother?
having said all these i really consder the fact that men and women are so much complementary to each other. emotionally too they are halves of each other and so lets not narrow down this essence in such a word called dependece and even if we tend to do so, then here its obvious that even male are eually dependent on women