  In [Phys. Rev. Lett. 128, 013001 (2022)] a novel ground state method was
proposed. It has been suggested that this $i$-DMFT would be a method within
one-particle reduced density matrix functional theory (DMFT), capable of
describing accurately molecules at various geometries with an
information-theoretical nature. We reassess this work and its suggestions from
a conceptual and practical point of view, leading to the following conclusions:
i) A method which assigns to each molecule $\mathcal{M}$ its own functional
$\mathcal{F}_{\!\mathcal{M}}$ is not a functional theory (striking violation of
"universality") ii) even for the simplest systems $i$-DMFT yields incorrect
one-particle reduced density matrices and iii) the use of an
information-theoretical concept to describe molecular dissociation limits was
not essential. The latter insight may help to fix the deficiency of $i$-DMFT to
not reproduce correctly the smaller occupation numbers and thus to not recover
the important dynamic correlations.
