The analyses presented here address quantitative kinetic simulations of life-like attractor behavior in protobiological catalytic networks. While many still contend that the first evolvers were self-replicating RNA molecules, there is a growing acceptance of a mutually catalytic supramolecular scenario, with small molecules promoting each other's formation . Chemical entities such as heterogeneous nanoscopic micelles harboring catalytic networks would constitute a drastically simpler origin platform . The realization that such modest chemical beginning not only has a potential to selfreproduce, but can reach this conceivably rare state with great facility, is of great significance to students of life's origin. Of note, an enhanced probability for micellar reproduction also synergizes with our previous analyses of micellar assemblies on a planetary scale , predicting the random formation of a combinatorial library with 1033 micellar assemblies, each with a different composition. While a huge majority of these is non-reproducing, even if the fraction of successful reproducers is as small as 3X10-13, as assessed here, there will still be an astronomical number of reproduction-prone compositions. Such a phenomenon is akin to what has been defined as 'selection for replication' . This, along with attractor action, could open the way to further theoretical and experimental scrutiny regarding assembly reproduction probability at the early steps towards life.