Well, if your DAC is truly balanced (balanced outputs don't mean the whole signal path is balanced) then you would be converting a balanced signal to an unbalanced one and back to a balanced one for the phones output.
I'll leave the technicalities to the more technically skilled people here.
What I experienced is that the balanced output of a truly balanced amp sounds better than the unbalanced output of the same amp and has more power.
For unbalanced amps with balanced inputs and/or outputs sounding better is not always the case but sometimes it is.
Some of these have more power, some just sound louder (more gain) others have the same power/loudness on balanced and unbalanced.
In any case I think the MHA200 will be an interesting amp, I'll be able to try it out when it's released here (April) and will buy one if I like it compared to my Luxman SQ-N150.
I wouldn't reconsider your preorder if I were you, being truly balanced isn't everything and means nothing if the amp doesn't sound good in the first place.
There are (and I had) expensive truly balanced amps that sound like crap.
Some of the greatest amps are single ended (tube) amps, some of those have balanced in-/outputs, some don't.