We discuss the presence of localities in observables for process calculi for mobile and wireless broadcasting systems in the context of weak barbed congruences and demonstrate that observability of the locality of a broadcasting node may be unsuitable when abstracting from node mobility, a natural abstraction current calculi agree upon. The discussion is carried out through a calculus bAπ, a conservative extension of the Applied π-calculus and a contribution of its own. Through examples we demonstrate the applicability of bAπ and its weak reduction congruence, where the locality of a broadcasting node is not observable, and we prove our bisimulation equivalence to be a sound and complete co-inductive characterization of the weak reduction congruence.