Your question is off topic but worthy of answers. In all my years of looking into this, I find the answer seems to be:
Balanced is to eliminate outside (non source signal) noise in a line. The current interest in wiring things balanced to increase sound quality - as in the high fidelity sense - is indeed worthless.
Balanced is traditionally the domain of sound reinforcement for concert and PA (public address - amplification of voice so a crowd can hear) systems. That is because one might have low level lines (= interconnects), speaker cables and power (AC) cables strung all over each other, and for long runs. Most home audio setups have none of these conditions present.
The one hifi situation where balanced might be necessary would be powering a dynamic - non electrostatic - headphone from two monoblock amplifiers.. Then you need to split the common ground used in almost all headphone cables. But it does not make sense there either, as it will need to be two wire into the monoblock.
Over at Head-Fi kids are crazy about balanced wiring. These are the same guys who think you need a $2000 DAC and believe they can hear jitter.
Even if balanced
did have some sonic advantage besides elimination of outside noise sources, to work that would need to be balanced from the source - CD player, phono cartridge, server
and DAC, whatever, all the way to the power amp. In sound reinforcement, transformers are sometimes used to create a balanced line for cable runs; a DJ turntable to a mixing board or amp is one possibility. Nothing to do with sound quality of the original music signal. Sound reinforcement usually does need a balanced source - look at the wires lying all over a concert stage at a club - so professional microphones have balanced outputs. The same for recording studios, where cables run or route all over the place, often in close proximity.
To those guys at Head-Fi: Good luck finding a moving coil phono cartridge with balanced output.
Edit: this is pretty esoteric, but I am told balanced can double the slew rate of an amplifier in certain setups.