A late stage die cap is, according to some website, "A late-stage die cap is one whose working face is featureless. Regardless of whether the working face ever carried a design in the first place, the surface is wiped clean after having struck a succession of planchets.
No.https://www.cointalk.com/threads/die-stage-vs-die-state.293031/ This is a good discussion on state/ stage. This is for the die cap: http://www.error-ref.com/?s=Die+stage+