The relation stage after or lower than Cool is War. If someone was cool, indifferent, apathetic, unfriendly, distant, remote aloof, etc etc I don't think that the next stage would be War, I think there should be a "Angry, Hostile, Furious, Seething or Outraged" relation stage before going to War. How hard is it to change one word if that word is causing confusion?
Ya gota love these totally game changing debates .
Originally- Should annoyed be switched with cool => Nope
Now - Should cool be replaced with angry, Hostile, Furious, Seething or Outraged => Sure, better sounding precursor to war
Second Franco's : it's cool with me either way