Recent approximate analytical work has suggested that, at certain values of the external pump, the optical parametric oscillator (OPO) regime of microcavity polaritons may provide a realisation of Kardar-Parisi-Zhang (KPZ) physics in 2D. Here, by solving the full microscopic model numerically using the truncated Wigner method, we prove that this predicted KPZ phase for OPO is robust against the appearance of vortices or other effects. For those pump strengths, first order spatial correlations perpendicular to the pump fit closely to the stretched exponential form predicted by the KPZ equation. This strongly indicates the viability of observing KPZ behaviour in future polariton OPO experiments.