No, it wouldn't because the types of guys you're referring to (the incel community) are not actually looking for sex - they are looking for status, acceptance, power and dominance. They feel like outcasts and rejects. This makes them feel powerless - mostly at the hands of women. That's why they talk so much about forced sex and rape because to them, this is the ultimate display of their power and dominance over the objects (women) that they feel the most powerless against.
If a woman is "mandated" to have sex with a guy, he will never get what he is really after, which is being wanted by that woman. She would only be doing it because she was forced to or paid to. It would do nothing to get the guy what he is really after.