  In a recent paper \cite{Artymowski:2020zwy} we suggested the possibility that
the present acceleration of the Universe is due to thermodynamical behavior of
unparticles. The model is free of scalar fields, modified gravity, a
Cosmological Constant (CC), the coincidence problem, initial conditions problem
and possesses interesting distinct predictions regarding the equation of state
of Dark Energy, the growth rate and the number of relativistic degrees of
freedom at BBN and CMB decoupling. In this work, we relate to a recent paper
\cite{Abchouyeh:2021wey}, which discusses a similar setup of unparticles with
and without a CC as an external source of late-time acceleration. The authors
have shown how such a model is inconsistent with the data. We show that these
claims are viable only in a particular part of the parameter space and that
model \cite{Artymowski:2020zwy} stands tall. We further suggest a consistency
condition in terms of observables. We then fit publicly available supernovae
data to derive the expected Hubble parameter and constrain the parameters of
the model.
