I think it’s important to distinguish that there are two different types of equality being discussed here:
1. Equality of position – as in, both people having identical responsibilities, or in this case, the woman being able to and having the same responsibilities as her husband. Men and women do NOT have the same equality in position. A man is supposed to lead the house, etc.
2. Equality of importance – however, both partners are equally important in the functioning of the marriage/family. The two roles are often diametrically opposites, yet both are needed 100%.
Women are different, we’re supposed to be different, but we’re just as important as the men in the marriage.