The Shiit preamp has lower output impedance than the NAD DAC going directly to your Prima Luna integrated. It is like having a buffer, either SS or tube to get more current drive to your integrated. The NAD alone runs out of gas as far as the Prima Luna is concerned.
This is not uncommon. Most DAC's have 50-100 ohms output impedance.
If you use a really low capacitance interconnects, like the ones that I used to make (3.9pF/foot), then this is less of a problem, however some amps just need more current to sound good.
Steve N.
Empirical Audio