Just as a point of curiosity on this - although acoustic pianos lack dampers in the top octave or so, the undamped notes still have a different resonance when the sustaining pedal is down because of sympathetic resonance from lower strings. I wonder if digital piano software recognises this subtle difference? I don't have a digital piano, I'm just mildly curious.......
Not all, but more expensive instruments create those sounds so actually digital instruments now can almost perfectly create organic piano sounds.