an amendment they rammed through in the dark of night added language that would give bosses the power to decide whether women who work for them should have access to birth control through their health care coverage

Provisions like these are a back door to allow employers to selectively turn off health care services at the “advice” of insurance firms; saving the employer money while being able to claim that they are following the law. Nothing really about moral objections; just an easy way to reduce costs be claiming moral objections.