The technique of Gaussian Processes (GP) is widely used to reconstruct cosmological parameters, most notably the expansion rate of the universe, using observational data. For many cosmologists, the crowning achievement of this approach is its 'model independence' – meaning it can be applied universally across all models. Through new analysis published in EPJ C, Eoin Ó Colgáin at Sogang University, Seoul, and Mohammad Mehdi Sheikh-Jabbari at IPM, Tehran, use the Hubble constant (H0) to show that this may not be the case—and that it may be time to question the validity of model independence itself.