Moot question. Women are and probably always have been in charge of the direction and velocity of a romantic relationship. A lady should make all the moves, every time. It's less confusing.

In this day and age if she doesn't make the first move and the man does, then it's grounds for a sexual harassment lawsuit. Less chance of that happening if the woman makes the first move, unless the man wants to try for "she took advantage of me" ink in the morning papers.