In the US, it seems, this distinction might be breaking up, with the consent of the law:
As currently written, the rule leaves open the possibility that based on religious beliefs institutions and individuals can deny women access to birth control. It also permits individuals to refuse to provide information and counseling about basic heath care services. And it expands existing laws by permitting a wider range of health care professionals to refuse to provide even referrals for abortions.
federal law has carefully balanced protections for individual religious
liberty and patients’ access to reproductive health care. The proposed
regulations appear to take patients’ health needs out of the equation,
leaving millions of Americans who depend on federally funded
reproductive health care services with no protections.