Audio-to-MIDI needs only to solve part of the problem, the note detection part. Edit: And besides, you said so yourself, they're not very good at the job. And how good are they at polyphonic note detection?

This software needs to do that, but also be able to take a single piece of waveform audio and extract individual waveform note segments out of that larger waveform, and have the resulting notes be usable as if they were recorded individually.