  In this work we introduce a mapping between the so called deformed hyperbolic
potentials, which are presenting a continuous interest in the last few years,
and the corresponding nondeformed ones. As a consequence, we conclude that
these deformed potentials do not pertain to a new class of exactly solvable
potentials, but to the same one of the corresponding nondeformed ones.
Notwithstanding, we can reinterpret this type of deformation as a kind of
symmetry of the nondeformed potentials.
