That's only harmonic distortion. I don't want to get into a 'better amplifier' argument, but there are other considerations.An amplifier with an open-loop distortion of 1% and an open-loop gain of 100,000 has a closed loop distortion of almost nothing when negative feedback reduces the gain to 20.
TIM, slew rate limiting, and so on. A feedback loop takes a finite time to exercise control. Moreover there has to be an error or there is no control signal. Any signal in a feedback loop cannot by definition be perfect. One of those catch22s.
When the signal is crossing zero there is (or should be) zero output. Therefore there is (or should be) zero feedback!