Elaine, you know I fertilize my moss (and the rest of my Tillandsia) when my orchids get sprayed. I WANT Spanish moss and seeded my trees with it four years ago after a local Master Gardener told me that it was impossible to grow it here. I still remind him of his "mistake".
The ONLY time that Spanish moss can become a problem is when it is exceptionally thick, and blocks sufficient sun from leaves. Branches, but certainly not the tree, could die back.