Excellent points, I was about to say "No, a class AB will sound different from class D", then I saw "blind listening"... and I didn't say anything, as I am simply not sure at all I would be able to tell one from the other.
If you're curious, you can do your own blind listening experiment. The level of audio engineering needed to surpass the human ear limits was achieved decades ago.
Class D distortion in high frequencies was something in the first generations (as always happens with new tech). Then the first use of class D was in subwoofer amps, but, since some time ... that's a thing of the past.
Today, classical brands like NAD or Marantz, or even premium, like Jeff Rowland, have their costlier amps implemented with class D.