The drugs in question were Plan B and Ella, the morning-after pills. They aren't abortifacient. They prevent fertilization to begin with.
These conscience clauses are the worst. They've become ever more expansive beyond just abortion. A Walgreens cashier recently refused to sell condoms to a customer on religious grounds. And they have real consequential effects on healthcare. A rape victim wasn't informed about emergency contraception at a Catholic hospital in one instance.
Healthcare access is in many ways meaningfully limited by these conscience clauses. Catholic hospitals have become much more prevalent in many areas of the US in recent years. In some rural parts of the country, objecting doctors or pharmacists may be the only people near a patient. And they may not inform patients of alternative means of access.
If you are not willing to treat everyone and provide any legally obtained medical drug or device to your patients/clients/customers then you have no business in Healthcare.
What is to stop these conscience exclusions from applying to refusing care to GSM or Muslims, Jews, Atheists, other sects of Christianity that you disagree with?
That's like a Muslim cashier at Kroger refusing to sell pork chops, or a stocker refusing to even touch them to put them on the shelf.
I can see the wiggle room as far as licensed professionals go. Like Tattooists are technically licensed in most states, they quite often refuse to do work on various grounds, some of it is conscientious based. Like finding a legit shop that does white supremacy or street gang tattoos is pretty much impossible. Or facial and hand tattoos (job killers) on people who don't have a shit load of existing tattoos to show a commitment to the lifestyle.
But that's the whole problem, "we reserve the right to discriminate" is meant to protect marginalized people from evil people, but evil people are using it to deny access to marginalized people.