  We revisit the phenomenological predictions of the Universal Texture Zero
(UTZ) model of flavour originally presented in arXiv:1710.01741, and update
them in light of both improved experimental constraints and numerical analysis
techniques. In particular, we have developed an in-house Markov Chain Monte
Carlo (MCMC) algorithm to exhaustively explore the UTZ's viable parameter
space, considering both leading- and next-to-leading contributions in the
model's effective operator product expansion. We also extract -- for the first
time -- reliable UTZ predictions for the (poorly constrained) leptonic
CP-violating phases, and ratio observables that characterize neutrino masses
probed by (e.g.) oscillation, $\beta$-decay, and cosmological processes. We
therefore dramatically improve on the proof-in-principle phenomenological
analysis originally presented in arXiv:1710.01741, and ultimately show that the
UTZ remains a minimal, viable, and appealing theory of flavour. Our results
also further demonstrate the potential of robustly examining multi-parameter
flavour models with MCMC routines.
