The journal Chemistry of Materials has just accepted for publication our study (in collaboration with long-term collaborators) on the magnetism of random binary compacts comprising two uniformly mixed populations of soft and hard nanoparticles (preprint here). It turns out that the answer we have found for the question above is «it depends where!», as we inform directly in the title of the paper: «Simultaneous individual and dipolar collective properties in binary assemblies of magnetic nanoparticles». We have shown how compact mixtures may be employed as a tool to test or, rather, to define the collective character of a given magnetic property as that resulting in the collapse of the individual features caused by strong enough interactions. Crucially, such collective character must, in general, be ascribed to specific properties and not to the system as a whole.