No, there's definitely emotion there! I can't listen to Palestrina's Sicut Cervus without getting swept into another world. But it's a different sort of emotional I guess. More quiet...more still..less enervating.
I am talking about the whole of the rock genre...from Chuck Berry to whatever passes for it nowadays LOL.
Sometimes secular music hits on something I guess....Greensleeves back in its day was turned into a beautiful Christmas carol (What Child is This). But by and large ends of the sacred and secular are different.