Doing your part in a relationship’s reproductive planning is good partner behavior. This shouldn’t be a game where just one person is on the hook and the other is just along for the ride. Male and Female birth control do not exist as a one or the other dichotomy.
Except what the meme is saying is not that both partners should work together on birth control. It suggests that it should be on the man instead.
Meme also suggests that no work is being done on a male contraception pill, when in reality this is being worked on and has been worked on for decades, but there are good biological reasons why this is anything but trivial and certainly much harder than a female contraception pill.






Preventing conception would be a genetic trait that evolution selects against.
A woman with your theoretical anti-conception genetic mutation would not reproduce, so this mutation dies out immediately.