  We investigate the correlations acting within the layers in a superfluid
system of electron-hole spatially separated layers. In this system of
quasi-dipoles, the dominant correlations are Hartree--Fock. We find in the BEC
regime of the superfluid where screening is negligible, that the effect of the
correlations on superfluid properties is also negligible. However, in the
BCS-BEC crossover regime, where the screening plays a crucial role, we find
that the superfluid gap is significantly weakened because the correlations
significantly boost the number of low-energy particle-hole excitations
participating in the screening process. Finally, the intralayer correlations
are found in this system to suppress a predicted phenomenon in which the
average pair size passes through a minimum as the crossover regime is
traversed. In the presence of intralayer correlations, the minimum is either
extremely weak or completely absent.
