Are the Cheeses, Cold Cuts and other Menu Items Offered really Gluten-Free?

Are the cheeses and Cold cuts offered on the "Gluten-Free" menu actually "Gluten-Free"? (Why: The original plan could have been to offer hot dogs that are "Gluten-Free", but the the manager decided to get the others instead because they are about 1/2 the cost and in his opinion they taste the same.)