  We explain why the main conclusion of Bender et al, hep-th/0511229 [J. Phys.
A 39 (2006) 1657] regarding the practical superiority of the non-Hermitian
description of PT-symmetric quantum systems over their Hermitian description is
not valid. Recalling the essential role played by the Hermitian description in
the characterization and interpretation of the physical observables, we
maintain that as far as the physical aspects of the theory are concerned the
Hermitian description is not only unavoidable but also indispensable.
