  We consider the density of complex eigenvalues, $\rho(z)$, and the associated
mean eigenvector self-overlaps, $\mathcal{O}(z)$, at the spectral edge of $N
\times N$ real and complex elliptic Ginibre matrices, as $N \to \infty$. Two
different regimes of ellipticity are studied: strong non-Hermiticity, keeping
the ellipticity parameter $\tau$ fixed and weak non-Hermiticity with $\tau
\rightarrow 1 $ as $N \rightarrow \infty$. At strong non-Hermiticity, we find
that both $\rho(z)$ and $\mathcal{O}(z)$ have the same leading order behaviour
across the elliptic Ginibre ensembles, establishing the expected universality.
In the limit of weak non-Hermiticity, we find different results for $\rho(z)$
and $\mathcal{O}(z)$ across the two ensembles. This paper is the final of three
papers that we have presented addressing the mean self-overlap of eigenvectors
in these ensembles.
