I’m not saying you would do this, but ask yourself this: how would most men react if a woman comes up to flirt with them & she changes her mind half way through the conversation & decides to leave? Will most men be okay with it and move on? Or will they take it personally in some way and feel mistreated or get upset with the woman for “leading them on for no reason”?
Though this would probably solve itself if women hit on men as much as the opposite. Men feel mistreated in that situation because they “got their hopes up” and then dipped. If that wasn’t a rare occurrence and they had women hitting on them, say, once a month, one rejection wouldn’t hurt as much.
This is all just theory of course, it’s such a huge societal change that I don’t think anyone can reliably predict the outcomes.