The function $\psi_{\iota^{\ast}{\overline{L}},\iota^{\ast}s^{\prime}}\colon N(\sigma)_{\mathbb{R}}\to\mathbb{R}$ agrees with the restriction of ${\overline{\psi}}_{{\overline{L}},s^{\prime}}$ to $N(\sigma)_{\mathbb{R}}\subset N_{\sigma}$.