  We analyze the operational meaning of the residual entanglement in
non-inertial fermionic systems in terms of the achievable violation of the
Clauser-Horne-Shimony-Holt (CHSH) inequality. We demonstrate that the quantum
correlations of fermions, which were previously found to survive in the
infinite acceleration limit, cannot be considered to be non-local. The
entanglement shared by an inertial and an accelerated observer cannot be
utilized for the violation of the CHSH inequality in case of high
accelerations. Our results are shown to extend beyond the single mode
approximation commonly used in the literature.
