Saywhat,
Advantages as said, but it is not always certain what you get.
Balanced lines are classically used with long leads as in PA, where the possibility of spurious noise pickup exists, as in electrically noisy environments. In such instances the noise picked up cancels because balanced line signals are out of phase. There is mostly no danger of this in domestic set-ups. Then the "discarded benefits" refer to carrying on with balanced signal progress through an amplifier, where every stage is 'balanced', i.e. having the same topology on the negative side as on the positive; something like push-pull. (It is a little difficult to explain without a diagram.)
In my view this may or may not be an advantage. The semiconductors on either side of 'neutral' - npn and pnp types - are normally not exactly the same, and also there are tolerances. Any good design takes care of that. A balanced mode usually gives a better noise/hum rejection, but the audible advantage might be academic if the non-balanced design is good. Many amplifiers generate a balanced topology from an un-balanced input anyway as said above - but that is not necessarily a disadvantage. Such 'generated' balanced topology is usually pretty accurate, whereas one is not sure if both signals are exactly the same in balanced mode from a source - hopefully they are! (Generated balanced topology inside an amplifier is there for the sake of noise/hum rejection.)
Not embellishing further, theoretically there is an advantage in going fully balanced, but in practice it does not always turn out that way. Let me say, I would not "saddle the horse" in search of balanced or pay a handsome price for that. Too much depends on what goes on inside a particular amplifier or system.
Sorry for the complexity. To sum up: If you are not in a particularly noisy environment, and lacking knowledge of the exact detail of a system .... I hope you get the drift!