On that particular scale, there are heterosexual relationships in which women are not just fully emancipated, but actually leading the relationship, serving the role of a main provider etc. Those are often referred to as either female-led relationships (FLR) or gender role reversal.

Women in such relationships are often mistreated and misunderstood, and men are outright harrassed and attacked for their choice to take a "weaker" side, for their "feminity", they are, at best, seen like a burden, and at worst, seen as a punchbag for "not being a man". I've very much seen both in my culture, and for all I know, in other places there are signs of something similar.

In media, at least from what I've seen, such relationships are almost universally portrayed as an unhappy woman and a broken, emasculated, capricious man, as something unhappy and dysfunctional.