  Models involving an interaction between the Dark Matter and the Dark Energy
sectors have been proposed to alleviate the long standing Hubble constant
tension. In this paper we analyze whether the constraints and potential hints
obtained for these interacting models remain unchanged when using simulated
Planck data. Interestingly, our simulations indicate that a dangerous fake
detection for a non-zero interaction among the Dark Matter and the Dark Energy
fluids could arise when dealing with current CMB Planck measurements alone. The
very same hypothesis is tested against future CMB observations, finding that
only cosmic variance limited polarization experiments, such as PICO or PRISM,
could be able to break the existing parameter degeneracies and provide reliable
cosmological constraints. This paper underlines the extreme importance of
confronting the results arising from data analyses with those obtained with
simulations when extracting cosmological limits within exotic cosmological
scenarios.
