The upper strings on a piano have a natural decay rate which is much faster than that of the lower strings additionally, their higher natural frequencies may allow them to add more brightness than would the lower strings. Consequently, the lower strings need dampers to avoid allowing music to be played at a reasonable speed without turning into mud.
A lot of music, however, requires that notes not sound for anything near the durations achieved by the lower strings on a piano. If all one ever wanted to do on a piano was play notes that would sustain as long as the strings allowed, having all of the strings undamped would probably improve the sound. If the strings corresponding to those other frequencies are not damped, some of the energy at those frequencies will transfer to those strings, causing them to resonate along with the string that was struck. For reference, I've owned a number of digitals of other brands, I also own a Yamaha acoustic grand, a Baldwin upright, family owns 2 Steingraeber grands, 1 Bosendorfer grand and I've played regularly on pianos of all brands such as Kawai, Steinway, Yamaha, Fazioli, Bechstein, Shigeru at numerous venues, stores, and competition/festival settings. This is because the struck string will vibrate with energy not only at the frequency of C3, but also some other frequencies including C4, G4, C5, E5, G5, and C6.
If one strikes a note (say C3-an octave below middle C) on an acoustic piano without the damper pedal and then with it, one will likely notice that the second note sounds slightly different-probably brighter.
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