The devil is in the details, Simon. The goal matters. The purpose matters. The means matters.

Your stated goal is to get men more sexed up. Your stated purpose is for sex to be more widely available. For men. Your stated means is for women to provide more sex that satisfies men.

This will not help the majority of men. Apparently, in becoming fixated with that crayon graph, you've misidentified the problem. Ergo, your solution won't work, regardless of how appealing and understanding you make it sound.