I find this a really interesting and appealing image. The diagonal of the arm pointing toward the reflection makes for an excellent composition, IMHO. Kudos.
Well, these are two comments that you can't reconcile...
I think this is vaguely like the distinction between a portrait and an environmental portrait. Is the subject hands, or hands playing the piano? It's all a matter of intent and taste. I still prefer the original. I find the hands in even more of the context more interesting, and it's a much more unusual composition.
Personal taste, nothing more or less here.
You find an aspect of the original composition interesting and I find that particular element results in a weaker composition because of how the reflection competes with the two "crossed hands".
If I have time, I might go back to see if reducing the brightness of the reflection might be a way of better preserving the original composition.