Robustness of non-standard cosmologies solving the Hubble constant
  tension
  In this manuscript we reassess the potential of interacting dark matter-dark
energy models in solving the Hubble constant tension. These models, mostly
modifying late-time physics, have been proposed but also questioned as possible
solutions to the $H_0$ problem. Here we examine several interacting scenarios
against cosmological observations, focusing on the important role played by the
calibration of Supernovae data. In order to reassess the ability of interacting
dark matter-dark energy scenarios in easing the Hubble constant tension, we
systematically confront their theoretical predictions for $H_0$ to SH0ES
measurements of \textit{(a) the Hubble constant} and \textit{(b) the intrinsic
magnitude $M_B$}, explicitly showing that the choice of prior is irrelevant, as
a higher value of $H_0$ is always recovered within interacting scenarios. We
also find that one of the interacting scenarios provides a better fit to the
cosmological data than the $\Lambda$CDM model itself.
