Cosmology in Entangled Relativity

General Relativity, in the absence of a cosmological constant, is an inevitable limit of Entangled Relativity, particularly when the universe is dominated by dust and/or electromagnetic radiation. In this communication, I emphasize that this arises from a specific type of decoupling termed \textit{intrinsic decoupling}. I then discuss what this implies for Dark Energy candidates within this framework. Furthermore, I introduce a novel and tantalizing hypothesis that the Lagrangian of Entangled Relativity represents merely the unperturbed term of an infinite series in a perturbative scheme. The terms of this series are dictated by the only dimensionful universal parameter of the theory, and notably, this series retains the \textit{intrinsic decoupling} of the original theory, non-perturbatively.