The finiteness conjecture for direct sums of quivers

Let $Q$ and $Q'$ be quivers such that $\Psi(Q)$ and $\Psi(Q')$ are finite and non-empty, and let $Q\oplus Q'$ denote their direct sum. Direct-sum finiteness conjecture. Then $\Psi(Q\oplus Q')$ is finite and non-empty. This proposed relationship concerns the behavior of the graph $\Psi$ under direct sums of quivers. It is presented as an open conjectural direction following a theorem about maximal green sequences for direct sums.