For those pushing "religious liberty", any tiny "burden", like filling in a form to say you will not provide abortion insurance coverage for your employees, is too onerous. However, as Christopher Douglas wrote in "Why Hulu's 'Handmaid's Tale' May Be the Wrong Adaptation for Trump Era":

The Christian Right was always about a willingness to legislate for those outside its own group—that was its point. It legislated for creationism to be taught not just to children of conservative Christian households, but to everyone else's children too; it opposed the acceptance of homosexuality not just within its own congregations, but in the larger society; and its rejection of abortion took the form not just of Christian individuals deciding not to have abortions, but as the chief political goal of overturning Roe v. Wade, preventing access to all women