Negative Feedback is used to 'linearize' the output of an Amplifier. An amplifier is linear if it's output is an exact amplified copy of the input. If an amplifier is not linear, the output is distorted. Linear Distortion is one of the specifications that is given for any good audio amplifier.
A side effect of Negative Feedback is that, in common configurations, it creates a low-impedance output. No matter what load you put on the amplifier, the output Voltage is the same: the output voltage is feed back into the input to linearize the amplifier, and that makes the output voltage insensitive to load conditions.
So: Good amplifiers use negative feedback: voltage feedback is common: good amplifiers commonly have low output impedance.
The voltage response of some loads (particularly speakers) is quite non-linear, and quite frequency sensitive. For this reason, high-impedence-output amplifiers, that is, current-drive amplifiers, are considered by some audio engineers to be superior to low-impedence-output audio amplifiers.
High-output-impedence amplifiers are not necessarily any less efficient at transferring power into speakers (loud speakers inherently sound better than soft speakers), and are not inherently any less efficient at transfering power from the power supply into the speakers (electrical power in that quantity is cheap anyway), but current-sense circuits have always been slightly more difficult, slightly more expensive, and slightly less linear than voltage-sense circuits.