The finite-dimensionality conjecture for electrical Lie algebras

Let $D$ be a Dynkin diagram, and let $\tilde e_D$ be the electrical Lie algebra associated with $D$. Finite-dimensionality conjecture. The Lie algebra $\tilde e_D$ is finite dimensional if and only if $D$ is of finite type.

This extends the preceding finite-type dimension question to arbitrary Dynkin diagrams, including those that are not of finite type. Its status is not resolved in the supplied source.