@8th-note If I can add to that:
I suspect that a lot of what we think of as the need for power is really the need for high current
@erik_squires Current cannot exist without power and vice versa. So if the amp can make the power into the load, it can also make the current.
There are a variety of issues with feedback. One is that the feedback node (where the feedback is applied in the amplifier design) usually is non-linear, meaning the feedback signal gets distorted prior to doing its job. This usually means additional distortion generated on that account, which is mostly higher ordered harmonics (and so IMD as well).
That is part of why feedback has gotten a bad rap in high end audio, but its not feedback's fault so much as shoddy execution.
The second problem is most amplifier designs lack the gain bandwidth product to support the amount of feedback being used as well as the gain of the amp. The result of this is that above a certain frequency, distortion increases. IME this phenomena is highly audible. Most THD measurements are made at too low a frequency to really show what is going on, but distortion vs frequency shows this problem with ease.
Class D offers a way around both problems. I think that is why there are class D amps now that are shutting down class A solid state designs for sheer musicality.