Torah Temimah cites Shevuos 33b.
Rabbi Akiva says: “and it shall be when he is guilty in one of these” — of these there is that for which he is liable and that for which he is exempt. How so? If he claimed money — liable; something else — exempt.
Rabbi Akiva limits the korban liability of the chapter to cases in which the underlying claim is monetary. Non-monetary matters, even if an oath was administered, do not generate the shevu’as ha-eidus korban.