Local relative trace formula geometric expansion for linear periods

Let $G=\mathrm{GL}_m(D)$, let $H$ be the subgroup defining the linear period, let $\omega$ be a central character, and let $\mathcal{C}(G(F),\omega)$ be the corresponding Schwartz–Harish-Chandra function space. For a strongly cuspidal function $f$, define $I(f)$ by the relative kernel and let $I_\mathrm{geom}(f)=m_\mathrm{geom}(\theta_f,\chi)$. Geometric expansion conjecture. For every strongly cuspidal $f\in\mathcal{C}(G(F),\omega)$,

$$I(f)=I_\mathrm{geom}(f).$$

This is attributed in the paper to Wan's conjectural geometric expansion; the supplied text gives no resolution status.