It depends on the particular amplifier. It’s meaningless to compare one class of amps with another. I’m going to call Class D and Class T amps the same thing. Certainly if you have low power requirements (reasonably sensitive speakers) and a low budget the sensible choice is Class D. At the bottom end I like Texas Instruments TPA 3116 chip which under perfect conditions throws out realistically 25W or so. By Class AB standards it is nothing special but not especially bad either. But for $20 or so you will not find a better audio amp.
However the next generation TI chips, eg the 500W(ish) TPA 3255 chip, compares very well in audio measurements with high end AB amps, it is highly efficient in comparison and so heat is not a huge consideration. It is still noticeably cheaper but will fill a large room and deal with tricky loads. Get one, or two, or five for teh cost of an equivalent AB system.
The main stylistic difference is that T and D aim for an experience without acoustic distortion, whereas the last line of defence for ABs is seemingly that they add subtle even harmonics that suit some tastes, though these are easily added digitally, ironically enough.
Essentially, in my view, the AB defence amounts to nostalgia. There are many fine AB amps, but new they cost a lot compared with roughly equivalent digital amps, they generate a lot of heat and waste a lot of magic pixie power, or Watts. They will improve in future as Moore’s Law.