You are quite the toter. I LOVED the balanced Dita Truth. I don't know much about the AK240 as I've listened only for a few minutes, but comparing the regular TRS to the TRRS version of the Truth was wonderful. Tone and timbre always were perfect on the Truth, but the balanced version is simply phenomenal.
It's interesting you say that, as after I found they were more revealing of the driving capability of various DAPs from my iPhone and up than I had expected, I can believe it.