Peppercorn payments don't actually happen in the real world. Consideration is never an issue in actual contract litigation and in this case, settling something in exchange for any other benefit (no countersuit, etc) would suffice as consideration.
I can report that they do actually happen in the real world. I've signed two contracts in the past year that had consideration of $1 written into them (and actually made the $1 payment). Are they necessary? I have no idea, but real lawyers wrote the contracts and apparently thought it was good to have that in there.