  We study 4d SCFTs obtained by orientifold projections on necklace quivers
with fractional branes. The models obtained by this procedure are
$\mathcal{N}=1$ linear quivers with unitary, symplectic and orthogonal gauge
groups, bifundamental and tensorial matter. Remarkably, models that are not
dual in the unoriented case can have the same central charges and
superconformal index after the projection. The reason for this behavior rests
upon the ubiquitous presence of adjoint fields with R-charge one. We claim that
the presence of such fields is at the origin of the notion of inherited
S-duality on the models' conformal manifold.
