The Hugo TT product page says (effectively as a comparison with Hugo):
Which is an admittance that Hugo's dynamics and handling of demanding transients can be improved. Is TT as good as it needs to be? It seems unlikely since there are some very power hungry headphones out there. Some people think TT has problems with dynamics playing into HD 800 (S). I'm keeping my head stuck between my HD 800 S fed by TT - I have no interest in more equipment...
The TT is both an endgame amp/DAC or standalone DAC. With the HD800/800S it has more headroom than you'll need.