The conjecture that the Koszul complex mapping-cone theorem holds without acyclicity

Let $\Lambda$ be a $d$-representation finite algebra. The theorem stating that the Koszul complex is given by a mapping cone is known under the assumption that $\Lambda$ is acyclic.

Acyclicity conjecture. The theorem still holds if the acyclic assumption on $\Lambda$ is dropped.

It is unclear whether acyclicity is necessary, since no examples are known of a $d$-representation finite algebra that is not acyclic.