The change in "balance" has been achieved by fiddling with the volume controls - and there has been a fair amount of that. Of course, in this case, the "balance" is not L/R, but between the HF and LF speaker inputs. I do not have the equipment to take measurements, so it's been strictly by ear, using a wide variety of source material.
There may be other factors at play of course - different speaker cables (AudioQuest Type 8 with the Jolida/HF, DH Labs Q-10 with the Panache/LF), different power cords, etc. Still, the whole experiment has been rather interesting. I just don't know what the next step should be - logical or not.