Maybe. No solid proof ever given.
That is true - but it is difficult to prove a negative. And then there is also no contrary solid proof. You'd think that with all the vested interest amongst audiophiles against Class D (not to mention boutique manufacturers), that someone would by now have set up competent controlled blind testing to prove it damages the sound, such as your suggestion of the AHB2 V Purifi. Or perhaps they have, but failed to prove it.
I'd love to see the experts here band together to do just that.