The aggregates ceasing is annihilation only if we are of the wrong view that things exist. It must occure only at death, if we consider that things exist. But what if things existed/experience manifested in a somewhat different way? That is, what if one experience merely gave rise to another experience, in a cause and effect manner; and each cause (and hence effect) was impermanent (hence, unsatisfactory). So that everything that arises is dukkha.
This is what those people with discernment proclaim, according to the kaccayanagotta sutta.