I had written out a similar. Without the concision. Then Syl's insistence that Kaladin speak the oath caused me to second guess myself. Upvote for you and your courage, good sir.
I really think this is the heart/thrust of the "focus" or connection to the shards for this world. This being said, what would Odium's oaths/cognitions look like? I imagine hatred, anger, or fear might be parts of the appropriate emotional cocktail. "I will destroy those who oppose me" or something along those lines.