  This article summarizes the state of the art of $\nu_\mu$ and $\bar{\nu}_\mu$
CC0$\pi$ cross-section measurements on carbon and argon and discusses the
relevant nuclear models, parametrizations and uncertainties in GENIE v3. The
CC0$\pi$ event topology is common in experiments at a few-GeV energy range.
Although its main contribution comes from quasi-elastic interactions, this
topology is still not well understood. The GENIE global analysis framework is
exploited to analyze CC0$\pi$ datasets from MiniBooNE, T2K and MINERvA. A
partial tune for each experiment is performed, providing a common base for the
discussion of tensions between datasets. The results offer an improved
description of nuclear CC0$\pi$ datasets as well as data-driven uncertainties
for each experiment. This work is a step towards a GENIE global tune that
improves our understanding of neutrino interactions on nuclei. It follows from
earlier GENIE work on the analysis of neutrino scattering datasets on hydrogen
and deuterium.
