Sinergy can exist in the sense that certain headphones are not designed for near zero impedance outputs, for example I don't like the AKG K702 at all with the Fiio K5 Pro (the 2.5kHz peak clearly shows), but it is much less noticeable with another 10 ohm impedance solid state amp, and the result is even better with a tube OTL.
Distortion isn't that easy to hear below a certain level, just listen to these samples, you may be surprised :
Frequency response variations are probably the most noticeable difference between equipment (and obviously the most affected elements are transducers).