Assuming one's source is vinyl, or CD, or cassette, or 8-track, or me playing the piano... will the tape (recorded with the speakers off) playback sound better than the original source did when it was played back by itself (or played)?
Maybe. My comments only apply to previously recorded sources like LP, that can be affected by vibration. So a tape will never sound better as a copy of another tape, although it can sound better than a CD because it can filter the digital noise that a CD player cannot.
Sorry for my tardy response...

