And, whether people want to ignore it, laugh at it, or downplay it, IT is happening. From my point of view, women have and are transforming themselves from the traditional female roles in our culture to just about anything they can wedge themselves into (a lot thanks to legislation pushed on by feminists) - including traditional male roles.
More power to them!!!!
However, with this advance, they also have to understand there is a cost involved, and that cost is men not necessarily conforming themselves at the same time, if at all. This study, IMHO, only confirms it.
As you said, men generally want the "softness" and "caring" that generally only a woman can bring to a relationship. However, that is being masked now by a more assertive female taking on more and more masculine roles. It isn't at the conscious level that men are trying to flip the switch from "is she being a woman" or "being a man in a woman's body", but at the subconcious level. The man's subconsious mind instead reacts by going into withdrawal or shutdown mode. Either you're a woman or you're a man - you cannot be both (unless you're a Lesbian). Again, all JMHO.
Again, if a woman wants to take on both roles today, more power to her, I say. Just don't start whining when you realize there aren't any men who fancy the idea of being around your type.