I think all music has a big time spiritual dimension* to it (good or bad), so there is that. Are the stakes higher or different when it is a competing Christian doctrine? I don't think so, but I'm not married to the idea. There is definitely a deep spiritual attachment, and Christian spirituality, I have to some compositions of Hayden, Mozart, Bach, Buxtehude, Handel, Tallis, and so forth in their religious works. I don't quite get that with an artist composing for non Christian spiritual things, I can enjoy the art and appreciate some if not most of the sentiments, but it's different. In the end though I still treat the best of Hayden and co. different than I do Liturgical music. I don't know what any of that means, but there you have it.
*everything does, but it seems much more obvious, intuitive, and strong in music and some other arts than in most other things.