I'm sorry, but this is hogwash. While you may hear things that you prefer in balanced VS SE, that means nothing. Here's an analogue from a different hobby: I prefer the way the Sun Optical 28/2,5 Nikon F lens renders to the Ai/S 28/2,8 Nikon lens, but it is markedly and measurably worse. It's warmer and has smoother out of focus transitions. And it has six, not 7 aperture blades, making for a more classic defocus highlight.
But in every measurable way, it is worse. It could be the inverse of that, but it's not. Kris is right, and, there's even data to back it up. Balanced has a few innate advantages, but only if they are properly used. Every AK device I've tested has had a poor quality balanced output, and a merely decent to good quality SE output when driving load. If what you hear doesn't correspond to measurements, it means only one thing: what you hear is just your preference, and your preference does not line up with testable reality.
For instance, the AK380's balanced output is FAR WORSE than its SE when driving load.
RMAA: Astell&Kern AK380 24-bit.
But the Onkyo DP-X1's balanced output holds up to its SE in all by dynamic range, stereo channel separation, and signal not noise ratios.
RMAA: Onkyo DP-X1 24-bit single-ended and balanced
Again, that's not to say that you or someone else, won't prefer the AK380's balanced output, but it is measurably worse in every loaded metric, and the difference to its unloaded metrics (SE VS BAL) is almost outlier difference.