Some comments on reverse derivations in rings

In this note, we explore scenarios in which the concepts of generalized reverse derivation, multiplicative generalized reverse derivation, and multiplicative (generalized) reverse derivation lose significance. First, we extend a result of [Aboubakr A., Gonz\'{a}lez S., Generalized reverse derivations on semiprime rings. {\em Siberian Math. J.} {\bf 56} (2015), no. 2, 199–205]. Then, we demonstrate that in some previous studies, the assumptions imposed on these mappings to establish commutativity (or closely related) theorems are, in fact, unnecessary. Additionally, we provide insights into reverse -derivations, where denotes the involution.