Earlier quoted context omitted.
What information isn't captured in the MIDI but is captured in the electronic sheet music?
Tons. Nearly everything. Sheet music is very expressive. So is MIDI. It’s kind of like asking, “What information isn’t captured in the movie but is captured in the novel?” They’re just radically different ways of expressing music, and much is lost when you translate from one to the other. If you are curious, try flipping through a book on orchestration at the library sometime, or a book on music theory. Even at its m…
For a keyboard instrument, played conventionally, MIDI does a fairly good job of capturing everything that a composer could tell a performer (and vice-versa).
Slightly less true for percussion, but still somewhat true.
Rather untrue for any instrument where technique can be (ab)used to alter timbre significantly (e.g. most reeds, most strings)
Very untrue for any instrument capable of continuous pitch generation (e.g. unfretted strings).
Obviously "arbitrary instructions" are out, but then they are also not formally part of "sheet music", but more "additional written material from the composer", which can accompany MIDI in various ways too.