No, it means that since only one partner in the marriage can be the dominating force, the wife respects her husband enough to allow him the dignity of that position. In return, the husband values the wife enough to seek her input and wisdom in life's decisions. Perhaps we are talking about semantics. I am calling the overall decision maker the dominant and his partner the submissive. Many decisions are joint decisions.
Discussion leads to a joint decision to make a choice.
It is only when there are divergent opinions that one of the partners must become the dominant and make the decision so that the couple can move towards completion in joint action. We are all capable of acting independently but the task of marriage is to find a means of performing tasks and making important life decisions which result in the couple doing things with one another rather than separately. The goal is to discover something that works. In our society, submission has been attached to negative connotations. The very word causes some to bristle.