@jrose @Catfish_Man @inthehands In that setting, what you are being asked is a shorthand meaning to make statements whose truth value is known to you and whose value is true. So you would (you better!) say in a court of law "he told me he would be there" rather than any other type of statement about the matter.
Thus, I would argue that this is not a semantically different definition of "truth" at all.