 We developed a theory to explain the behavior of charge transport along the quantum-haul edge proximitized by a superconductor. The presence of disorder in the superconducting material allows for the Andrea reflection of the edge states which is otherwise suppressed due to the preservation of translational symmetry along the edge. This results in a stochastic conductance with alternating signs and no average value. Furthermore, we found that the conductance has a non-trivial dependence on the electron density, magnetic field, and temperature. This explains a recent experimental observation of such a phenomenon. This article was authored by Vladislav D. Kirilovich, Zachary M. Reigns, and Leonid I. Glasman.