At the end of the day the person coming to a public accommodation for a service or good doesn’t and shouldn’t need to know anything about the religion of the owner. Why should they? What does that have to do with me buying a muffler from their store or a bouquet of flowers?
Living in a world where we have to follow all the weird -isms of each individual proprietor (including, yes, racism) would be a social nightmare and incredibly disruptive to social order. Which it was.