You say in one case the expression
corresponds to the feeling experience. But how does it correspond?
  Imagine, you were wrong about the correspondence, then what would remain? That you said these words & that you did not cheat, but now cheating & not cheating are not ‘private experiences’. It's no good saying “I recognize this experience as … ” as ˇ can say I don't know whether I recognize the experience of recognizing rightly.