[miltondts]

"Explicit construction of Local Hidden Variables for any quantum theory up to any desired accuracy"

https://arxiv.org/abs/2103.04335

Or right in the page I linked: "This makes it possible to construct a local hidden-variable theory that reproduces the predictions of quantum mechanics, for which a few toy models have been proposed."

[ko27]

From Wikipedia about superdeterminism: "By postulating that all systems being measured are correlated with the choices of which measurements to make on them, the assumptions of the theorem are no longer fulfilled"

By assuming superdeterminism you can indeed construct a valid local hidden variable theory. But there is no way you can say superdeterminism is by itself a local theory, and no physicts will call it so. It's as far from "local" theory as possible, it's actually global.