in [@bojo] seemed to favor the latter possibility. However more detailed analysis performed in the framework of the so called *solvable LQC* [@acs] have shown, that for the states satisfying quite mild semiclassicality assumptions for one of the branches the possible growth of the dispersion through the bounce is severely limited [@cs]. In consequence, within considered class of the states the semiclassicality at the distant future implied the semiclassicality in the distant past [@cs-reply].

The latter results, although firm, strongly rely on the analytic solvability of the studied model, thus are difficult to extend to the original formulation of it [@aps-imp] as well as to more general settings, for which one could not a priori exclude the loss of semiclassicality through the bounce [@bojo-qbb]. Finding a definitive answer to the question posed above requires construction of the method, which is sufficiently flexible to be adaptable to the situations, where the analytical studies fail. We introduce such method in this article, next applying it to two simple examples of flat models with massless scalar field as the sole matter content: $(i)$ an isotropic Friedman-Robertson-Walker universe, and $(ii)$ an isotropic sector of a Bianchi I model quantized as specified in [@awe]. In 