That meme is useless in a romantic context.
If you are male, it's your job to pursue until the woman either responds or lets you know you're rejected for good.
If you're female, it's not your job to chase men at all. Just choose from the men who are already chasing you.
If you are a woman who wants to chase men, check your fingers. If your ring fingers are longer than your index fingers, that indicates a high percentage of prenatal male hormones.
Most normal cis hetero men want to have sex with most women, but most cis hetero women with normal levels of female hormones only want to have sex with a few men in her lifetime, and only with men who are faithful, and who support, love, and put her first.
I agree with what you are saying.