My controversial answer is.......................nothing. There are no audible advantages, as long as the volume is matched between the single-ended and that balanced signal, neither method alters the sound. Except over long distances and when dealing with high levels of power, but that's in the pro-audio world.
The only reason I use balanced is because buying the HE adapter was the cheapest way possible for me to power my 5LE's by hooking it to the speaker outs on my receiver. I also got the balanced cable for the Alpha Dogs for the same reason- and I have a balanced to SE adapter for when I run into my HP out of the receiver.
Still, when I get the Oppo BDP-105, I will most likely get a balanced amp for a fully-balanced signal path. Why? Because I think it looks cool, and if I like my rig, it seems to sound better.