Not utter.The arguments about "phase shift" and "load tolerance" are utter nonsense.
If you load a class d output filter with a real reactive speaker impedance its something completely different compared to a test with a 4-8 ohm impedance.
There is gonna be some Phase shift and some distortion from the filter.
the question is how audible is it.
For a HiFi system i would go with Class D for the Sub, Low and Mids. but i would not bother with ab extra Class D for the Tweeters.
You need so little Power for tweeters its not worth the trouble and cost to uses an extra Class D for them.