If I were to say I wanted a "real" mean, by that I'd mean someone who's grown up. Who takes responsibility in his life and doesn't expect me to carry his emotional work, thought load or family obligations. (For example, being a wife doesn't make it my job to remind him that he has an appointment, buy his mother a birthday present, or take responsibility for initiating conversation around something which has irritated him).
What I notice among my peers is that we don't want husbands who, in effect, become the same kind of "work" for us that our children are. We want partners in life.
Wealth or not really doesn't come into it for me. I've been quite comfortable during the phases of our marriage where I've been the bread winner. (In fact I find that easier than being dependent).