A little parable and a modest proposal ...
Imagine that someone prints a collection of paintings by Vincent van Gogh, but due to publishing constraints, they are only able to print the paintings in black and white. Later, a group meets to discuss those paintings, based on this publication. They talk about all sorts of technical things like brush strokes, compare different parts of the images, etc. But of course, color is never mentioned.
That is what we are doing we study our non-musical representation of the songs from the Lord of the Rings and we look at them strictly as poetry, not as songs. It is van Gogh without color.
When I come to the songs in Tolkien, I always sing them. They may never be the same from one singing to the next, but for me, they are always songs, not simple poems.
Corey has a background in music. I suggest that he consider ways to discuss Tolkien's songs as songs, not simply as poetry.