The Ms and BTA systems appear similar also for what pertains to the dominant mechanisms of communication between assemblies in the systems. While the statistical weights discussed above may depend, to some extent, on the molecular concentration, the obtained trends provide solid, general-level insights. Our results reveal that the dominant mechanisms by which the fibres communicate in such complex systems may change as the interaction strength between the monomers varies (either by changing the ε or the T ). This is captured in a similar way by both the minimalistic, rigid M model and by the ) Illustrative schemes of the mechanisms of inter-assembly communication. When the interaction between the self-assembling units is weaker (lower ε, or higher T ), the fibres preferably communicate with each other exchanging monomers or relatively small fragments. When the interaction between self-assembling units is stronger (higher ε, or lower T ), the inter-assembly communication proceeds mostly via large fibre fragmentation and coalescence. more chemically-relevant, flexible BTA model. In this sense, it is worth pointing out that the results discussed herein hold for supramolecular polymers composed of monomers that can be effectively modeled (on average) as globally solvophilic and directionally interacting units. In fact, when the monomers are more solvophobic, and non-directional interactions become non-negligible, the dynamics of the system might change. In such cases, it has been recently demonstrated that the exchange of monomers within the assemblies (monomer reshuffling) may become even more prominent than the exchange between fibres and their environment. The global and microscopic similarities and the analogous scaling behavior exhibited by the two different models (Figure and Figure in the SI) prove how even relatively simple self-assembling systems possess a rather complex dynamic character at the equilibrium. The obtained results demonstrate however that, not only the average assemblies sizes, but also the dynamic communication between aggregates that are formed at the supramolecular equilibrium is regulated by environmental variables (such as, e.g., temperature) as much as by molecular features of the self-assembling building blocks (e.g., monomer structure, interaction strength, etc.). This underlines the importance to move the attention from the structure of the fibres and from the monomers as individual entities, to the evaluation of the complexity that emerges in the system considered as a whole.