  We consider a statistical limit of solutions to the compressible
Navier--Stokes system in the high Reynolds number regime in a domain exterior
to a rigid body. We investigate to what extent this highly turbulent regime can
be modeled by an external stochastic perturbation, as suggested in the related
physics literature. To this end, we interpret the statistical limit as a
stochastic process on the associated trajectory space. We suppose that the
limit process is statistically equivalent to a solution of the stochastic
compressible Euler system. Then, necessarily, (i) the stochastic forcing is not
active -- the limit is a statistical solution of the deterministic Euler
system; (ii) the solutions S-converge to the limit; (iii) if, in addition, the
expected value of the limit process solves the Euler system, then the limit is
deterministic and the convergence is strong in the $L^p$-sense. These results
strongly indicate that a stochastic forcing may not be a suitable model for
turbulent randomness in compressible fluid flows.
