A balanced vs single ended cable, both being of similar CONFIGURATION,
They are not the same configuration. For starters on have 3 wires and the other has 2,
will transmit the waveform with identical defeciencies, therefore sound the same. The balanced cable however will show a +6 dB gain over the other.
Maybe SNR not gain?
There is also some immunity to common mode noise, usually a minor consideration.
When did CMRR become a minor consideration?