Incorrect.
Refusing to accommodate unmarried couples has nothing to do with ‘freedom of religion’ and everything to do with the fact that unmarried couples don’t constitute a class of persons protected by public accommodations laws in that jurisdiction.
Whatever. The reason they refused to allow shacking up couple to do one night stands in their motel, was because of religious views, and that's a constitutional right. Freedom of Religion, Freedom of Association.
Whatever legalese you come up with, doesn't matter to me. If that's what you want to go with, fine. Knock yourself out. As for me, the group that funded the defense of the motel, was a Christian Rights group. They seem to know what they were fighting for.