The Game really only cares about Discord that was gotten via dissonance, as dissonance is either betrayal of a Prince's Word (and thus Hell), or rank incompetence in demonicness -- and the "angelic" Discords, which force demons to act in ways that, if they became internalized habits, could provoke a treasonous attempt to change sides.
And, as said, ticking off a Gamester does tend to result in the Gamester twisting the Rules...
(This is where I shill the
Asmodeus PDF, right?)