I don’t doubt differences were heard.
when compensating for volume
Since you adjusted volume, then you concur that matching volume has merit. Exactly how did you compensate?
With your logic, nothing is, or sounds, any different than anything else - it’s just a matter of volume
Not so. I did not say that. Never have, never will.
I’m not trying to be obtuse, but I’ve endured far too many "night and day" / "blows the doors off" claims only to find that levels were not matched and when they were, deltas diminished drastically.
No mention is made of the driving device.
The effects ascribed to the XLR input could be impedance mis-matching. The VAC Phi200 does not list bal/unbal impedances.
The Phi200 manual states there are switches for bal/unbal. What was the power setup and is there a possibility of a ground loop with the unbalanced that is mitigated in the balanced mode?
When properly implemented, there should be extremely little difference between balanced and unbalanced at home HiFi distances. I spent a couple of decades designing electronics [not power amps] and made sure there were none.