BC has side-effects, so currently the burden is placed on women. It's the path of least resistance simply because it is the status quo, but that's no argument for why it should continue that way.
Ideally, both parties will use birth control.
This is what many people see to be missing. No method of BC, beyond total abstinence, is 100% effective. Mixing methods lowers the simultaneous failure rates to minuscule levels.