That is a great analogy.

They have been trying to discretize vocals for decades with autotune and tools like that.

Guitar is said to be the most expressive instrument because of its ability to reach a “complete system of notes” as opposed to piano which only reaches 11 integers in an equivalence class of octaves (remarkable how beautiful the piano still is even with its limited range of outputs)

The continuous side of the piano is in its dynamics - the ability to control the volume from very soft to very loud. Guitar players struggle to find the same range with the same ability as on the piano.

Continuity in music is what makes it human. It’s the errors in notes, or the rests on the beats. It’s cliche and every college kid will say this with wonder but it’s incredible true.