It has been said many many times. The Class of the amplifier is just one of the aspects of its design. Things like power supplies, quality of components, EMC measures, layout of the board, internal structure, internal cabling, etc all matter.
I have been using Class D amplifiers from the early days when some of them he emitted too much energy in the tweeters and could blow them up. The latest Hypex/Purifi/Icepower modules have improved tremendously but that is not to say that you can make a blanket statement that Class D is better than others.