One of the main strengths of studying tonal and/or modal (pre-tonal) counterpoint is understanding dissonance treatment within those idioms. Additionally, one learns how to navigate some of the trickier "puzzles" of composition, like creating canons that will sound harmonious and follow specific expectations of consonance and dissonance.
With that said, I have heard of books and courses dedicated to atonal counterpoint (atonal presumably meaning both serial and non-serial atonality). What would these actually teach?
Part of atonality is the "emancipation of the dissonance," in which case I don't see how atonal counterpoint would teach "dissonance treatment" at all if they have been emancipated. Similarly, something like canonic writing seems a bit trivial if the resulting composition doesn't need to follow specific expectations of consonance and dissonance.
So what does atonal counterpoint actually teach?