Categorical equivalence between finite real spectral triples and spectral C*-categories

A finite even $S^o$-real spectral triple over $\mathbb{C}$ consists of finite-dimensional spectral-triple data with the stated reality and grading conditions; spectral triple morphisms are the corresponding structure-preserving maps. A finite-dimensional spectral C*-category is a spectral C*-category whose hom-spaces and structural algebras are finite-dimensional, and an involutive functor preserves the C*-categorical involution.

Categorification conjecture. The category of finite even $S^o$-real spectral triples over $\mathbb{C}$ and spectral triple morphisms is equivalent to the category of finite-dimensional spectral C*-categories and involutive functors.

This proposed equivalence would identify finite spectral triples with categorical noncommutative-geometric structures and connect the spectral-triple and spectral C*-category approaches to categorification. The supplied text presents it as something that could be investigated, and gives no resolution.