The paper presents a complete and general representation of the overall efficiency expression for the quantum secure direct communication (QSDC) protocol that relies on quantum channel compression (QCC). For this purpose, (i) the encoding technique, respectively, QCC is generalized—QCCs of higher order are introduced; (ii) the data statistics of the messages to be transferred are incorporated into the overall efficiency expression. An analysis is made concerning the behavior and the extent of the overall efficiency. It is justified that QSDC protocols, which are based on high order of QCC, could achieve efficiencies that have never been reached before.