  We study the behavior of the Etingof-Kazhdan quantization functors under the
natural duality operations of Lie bialgebras and Hopf algebras. In particular,
we prove that these functors are "compatible with duality", i.e., they commute
with the operation of duality followed by replacing the coproduct by its
opposite. We then show that any quantization functor with this property also
commutes with the operation of taking doubles. As an application, we show that
the Etingof-Kazhdan quantization of some affine Lie superalgebras coincide with
their Drinfeld-Jimbo-type quantizations.
