  Let $\mathfrak{g}$ be a complex simple Lie algebra and $U_qL\mathfrak{g}$ the
corresponding quantum affine algebra. We construct a functor ${}^{\theta}{\sf
F}$ between finite-dimensional modules over a quantum symmetric pair of affine
type $U_q\mathfrak{k}\subset U_qL{\mathfrak{g}}$ and an orientifold KLR algebra
arising from a framed quiver with a contravariant involution, providing a
boundary analogue of Kang-Kashiwara-Kim-Oh generalized Schur-Weyl duality. With
respect to their construction, our combinatorial model is further enriched with
the poles of a trigonometric K-matrix intertwining the action of
$U_q\mathfrak{k}$ on finite-dimensional $U_qL{\mathfrak{g}}$-modules. By
construction, ${}^{\theta}{\sf F}$ is naturally compatible with the
Kang-Kashiwara-Kim-Oh functor in that, while the latter is a functor of
monoidal categories, ${}^{\theta}{\sf F}$ is a functor of module categories.
Relying on a suitable isomorphism \`a la Brundan-Kleshchev-Rouquier, we prove
that ${}^{\theta}{\sf F}$ recovers the Schur-Weyl dualities due to
Fan-Lai-Li-Luo-Wang-Watanabe in quasi-split type $\sf AIII$.
