The trivial-fibration characterization for nice spaces

Let $M$ be the five-point space with two open and three closed points, let $\Lambda$ be the three-point space with one open and two closed points, and let $\left\{M\to\Lambda\right\}^{lr}$ denote the corresponding class of maps having the indicated left-right lifting property. A map is between nice spaces when its source and target satisfy the niceness conditions used in the paper. Trivial-fibration characterization. A map of nice spaces is a trivial fibration if and only if it belongs to $\left\{M\to\Lambda\right\}^{lr}$. This conjecture seeks to characterize trivial fibrations using a fixed finite topological test map; the supplied text gives no resolution of the claim.