I heard a pretty big difference between a first generation HiFace and my Blue Circle Thingee ....... and the difference was in tone as well as resolution. All things being equal, I would like to have a converter with the resolution of the HiFace and the tone of the Thingee.
Don't be so sure.
"The result of balanced headphones is less damping factor, more distortion, and more noise. Also, balanced headphones configurations offer no real benefits, to boot." .... Benchmark engineer Elias Gwinn [ http://www.head-fi.org/t/576339/balanced-vs-single-ended-poll ]