Interesting that “balanced” can mean different things for different brands, and that is exactly what I have experienced with regard to volume. No change in sound if volumes are matched, though.
Not uncommonly, the audiophile world takes something that the pro audio world (music recording studios for example) does and applies it to consumer audio, essentially on the grounds that it's more "professional" and therefore better. Such is the case with balanced signal architecture, which is used almost exclusively in the pro audio world. However, there's 3 problems here:
1. In professional music recording/reinforcement, cable runs are commonly at least 50ft and sometimes several hundred feet, there are often 6-10 (or more) connections in an individual signal path (as opposed to 4), the environments are typically relatively high in RF/interference and many of the audio signals we're moving around are 10 - 1,000 times lower in level than the audio signals consumers have to move around (and therefore any noise/interference picked-up in the signal path will be amplified 10 - 1,000 times). With ALL of these conditions, a balanced architecture can make a very significant audible difference but a consumer playback situation/environment doesn't have ALL of these conditions, in fact typically they don't even have a single one of them!
2. Without these conditions, a single ended architecture is (or can be) actually technically slightly better (higher fidelity) than balanced!
3. In the pro audio world, the term "balanced" means just one thing, it always requires 3 wires; a "hot", a "cold" and an "earth" for each individual signal (therefore 6 wires for stereo). However, as castleofargh pointed out, this often isn't the case in the audiophile world and the term "balanced" can mean different things, most of which wouldn't be considered strictly "balanced" by the pro audio world.
Putting all of this together, "balanced" in the audiophile world is effectively nothing more than a marketing gimmick and a very lucrative one, as they usually mark-up the actual cost massively!
Although neither my ears nor gear are ‘Summit-Fi’
. For commodity “Hi-Fi branded” gear, it feels like several standard deviations of marketing.
All else being equal (volume matching being an obvious example), we could measure the difference but given the typical (or even worse than typical) consumer circumstances, it's tiny. Even "Summit-Fi" ears wouldn't be anywhere even vaguely near sensitive enough to detect it!
G