It is always about the design..not the device..there are class d amps that sound tubey and tube amps that sound like solid state..
Most of the "tube goodness", specially for bass, comes from a resonant peak at the low end, formed by the interaction of the high output impedance of the transformer, coupled with the speakers natural resonances..
Preamp tubes do not reproduce that effect, and when clean, they are as linear as an opamp or a transistor.. clipping is another thing there..but nothing to do with the frequency response of the amp..
Class D have a lot of power in small packages, but they are very flat in frequency response..the tone shaping must be done in the preamp, adding the "tubish" frequencies there, but they will not change if you change the speakers ( as tubes do)
I reproduced this effect on the omnicabsim, the resonant variable HPF gives that present bass but not overwhelming, tighter..
Transistor amps can reproduce this with clever designs..but they are not as efficient as class D