I will present the ηCDM framework, a new cosmological model aimed to cure some drawbacks of the standard ΛCDM scenario, such as the origin of the accelerated expansion at late times, the cosmic tensions, and the violation of the cosmological principle due to the progressive development of inhomogeneous/anisotropic conditions in the late Universe via structure formation. To this purpose, the model adopts a statistical perspective envisaging a stochastic evolution of large-scale patches in the Universe, which is meant to render our ignorance on the complex processes leading to the formation of the cosmic web. The stochasticity among different patches is technically described via the diverse realizations of a multiplicative noise term (‘a little ado’) in the cosmological equations, and the overall background evolution of the Universe is then operationally defined as an average over the patch ensemble. I will highlight that the ensemble-averaged evolution in ηCDM can be described in terms of a spatially flat cosmology and of an ‘emergent’ dark energy with a time-dependent equation of state, able to originate the cosmic acceleration with the right timing and to solve the coincidence problem. I will showcase the extremely good performances of the ηCDM model in confronting the most recent supernova type-Ia, baryon acoustic oscillations and structure growth rate datasets. I will stress that ηCDM is able to alleviate simultaneously both the H0 and the fσ8 tensions. Finally, I will propose that the Linders’ diagnostic test may constitute a helpful tool to better distinguish ηCDM from the standard scenario in the near future via upcoming galaxy surveys at intermediate redshifts such as those being conducted by the Euclid mission.