Equivalence of categories of $D$-modules on a singular $X$

Is $$D^b(Mod_{qc}(D_X)) \to D^b_{qc}(D_X)$$ an equivalence of categories for singular $$X$$? Where $$Mod_{qc}(D_X)$$ is the category of quasi-coherent modules over $$D_X$$ and $$D^b_{qc}(D_X)$$ is the category consisting of objects $$X$$ such that $$H^j (X)$$ is quasi-coherent for all $$j$$. This is known to be an equivalence for $$X$$ smooth, by Ryoshi Hotta Kiyoshi Takeuchi Toshiyuki Tanisaki D-Modules, Perverse Sheaves, and Representation Theory Theorem 1.5.7. Thanks in advance.

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• Maybe this will be helpful: the LHS has enough injectives even when $X$ is singular. – FunctionOfX Feb 12 at 16:20