Well, philosophically there's simply no way for two people to be 100% balanced in their decision making as a unit. It's damn difficult to even get to the point where the imbalance isn't important much less imperceptible. In most cases there's someone who leads with a more forceful personality and the other person defers to them markedly more often than the forceful personality yields...and lots of people like their relationships so I'd say it works for some folks. The divorce rate being what it is I'd also say it doesn't work for a hell of a lot of others.

In this case, the wife is the head of the household. She's making the decision and the husband is caving. He doesn't like it and if she doesn't do something about it (with or without his input) the household might not stand for long.