No. There is power in choosing and taking the first step. After all, the person taking the first step gets to decide with who, how, when and where. So all that is done to their convenience.

Choosing among the ones who hit on you might be easier, but not necesarily leads to a better outcome. After all, women are presured to "settle", which is synonim to "accept something worse than you want in order to secure something, whatever that something is".

There was even a math explanation about why taking the first step leads to better outcome in dating. If you are doing the asking, you'll end with the best possible choice available for you. If you just chose among the few who ask, you migh be discarding shy guys that you might have liked more.