while i would guess pretty much all class D amps use a SMPS, it is not a requirement of class D to do so, nor is SMPS exclusive to amps with a class D output topology...
I will add further to the consensus: I don't find any inherent sound or issue with class D power amps and their weight-saving SMPSs. I have the WTX-260 and aside from one time when it smoked, it's been a workhorse .
This is, IMO, where 'myths' continue to be supported. No other amp sounds like a Thunderfunk, no other amp sounds like an SVT, no other amp sounds like an LMII, no other amp sounds like a Shuttle 9, no other amp sounds like a DB750, no other amp sounds like an Orange200, no other amp sounds like a Hiwatt, no other amp sounds like a TH500, etc., etc., etc. Again, better to not really think about topology as a driver of amp purchase choice (unless again you really like to push power tubes into overdrive, which is a unique aspect of tubes as far as I know).