  The emergence of an increasingly strong tension between the Hubble rate
inferred from early- and late-time observations has reinvigorated interest in
nonstandard scenarios, with the aim of reconciling these measurements. One such
model involves interactions between Dark Matter and Dark Energy. Here we
consider a specific form of the coupling between these two fluids proportional
to the Dark Energy energy density, which has been studied extensively in the
literature and claimed to substantially alleviate the Hubble tension. We
complement the work already discussed in several previous analyses and show
that, once all relevant cosmological probes are included simultaneously, the
value of the Hubble parameter in this model is $H_0=69.82_{-0.76}^{+0.63}$
km/(s Mpc), which reduces the Hubble tension to $2.5\sigma$. Furthermore, we
also perform a statistical model comparison, finding a $\Delta\chi^2$ of
$-2.15$ (corresponding to a significance of 1.5$\sigma$) with the inclusion of
one additional free parameter, showing no clear preference for this model with
respect to $\Lambda$CDM, which is further confirmed with an analysis of the
Bayes ratio.
