In this paper we extend prior efforts to engineer an efficient mapping of volatility transmission across various westernand central-European government bond markets. Prior research efforts report that the closed-form derivation of the regularization parameter embodied by the Kajiji-4 RBF ANN results in an efficient minimization of the ill-effects of multi-collinearity while attaining maximum smoothness in nonparametric time series analysis. This computational innovation provides the raison d’etre for a comparative re-examination of volatility spillover effects obtained from the study of parametric-based conditional volatility investigations. The current research calibrates the Kajiji-4 ANN to produce new evidence on volatility flows. The two step research method focuses first on the art of ANN engineering of financial time-series. The method then focuses on the resultant modelling efficiency by introducing an investigatory ARCH-framework as well as a classification-directed ANN. The post-modelling efficiency tests certify the ex-ante expectation for the Kajiji-4 RBF ANN to produce residuals that are devoid of latent economic covariance and conditional volatility effects. Moreover, we find that the estimated Kajiji-4 network parameters yield corroborative evidence that supports the broader findings in the extant literature on bond volatility-spillover effects. However, the non-parametric approach also produced results that challenge some contemporary findings. Most notably, the research findings contradict the view of a weak US volatility-spillover into EMU countries with a correspondingly strong spillover effect for non-EMU countries.