To repeat, you don't make rules based on who gets to be the forward one or who needs their attention "earned" based on gender. These are personality quirks. Some people are forward and direct, some want to be wooed. Bringing gender into it makes it outdated.
The flip side to what you said is that the woman who IS forward and direct is somehow breaking a social mores and is either less womanly or "bad". That's an old story that is thankfully dying out.