Gorman's peel restriction conjecture for finite metric spaces

Let $d$ be a metric of strict negative type on a finite space, let $\mathcal{I}$ be a subset of $\operatorname{peel}(d)$, and let $d|_{\mathcal{I}}$ denote the restriction of $d$ to $\mathcal{I}$. Gorman's peel restriction conjecture. If $d$ is strict negative type on a finite space and $\mathcal{I} \subseteq \operatorname{peel}(d)$, then

$$\operatorname{peel}(d|_{\mathcal{I}})=\mathcal{I}.$$

This claim is disproved by the displayed four-point metric in the paper: although $d$ has strict negative type and $\operatorname{peel}(d)=[4]$, one has $\operatorname{peel}(d|_{[3]})=\{2,3\}\ne[3]$.