Witnessed Gxf6;del logics are based on the interpretation of () by minimum (maximum) instead of supremum (infimum). Witnessed Gxf6;del logics appear for many practical purposes more suited than usual Gxf6;del logics as the occurrence of proper infima/suprema is practically irrelevant. In this note we characterize witnessed Gxf6;del logics with absoluteness operator w.r.t. witnessed Gxf6;del logics using a uniform translation.