An equivalence between two models of $\mathrm{\infty }$-categories of enriched presheaves

Let $\mathcal{O}\to \mathrm{B}\mathrm{M}$ be a $\mathrm{B}\mathrm{M}$-operad that exhibits an $\mathrm{\infty }$-category $\mathcal{D}$ as weakly bitensored over non-symmetric $\mathrm{\infty }$-operads $\mathcal{V},\mathcal{W}$ and $\mathcal{C}$ a $\mathcal{V}$-enriched $\mathrm{\infty }$-precategory. We construct an equivalence $${\mathrm{F}\mathrm{u}\mathrm{n}}_{\mathrm{H}\mathrm{i}\mathrm{n}}^{\mathcal{V}}(\mathcal{C},\mathcal{D})\simeq {\mathrm{F}\mathrm{u}\mathrm{n}}^{\mathcal{V}}(\mathcal{C},\mathcal{D})$$ of $\mathrm{\infty }$-categories weakly right tensored over $\mathcal{W}$ between two different models of $\mathrm{\infty }$-categories of $\mathcal{V}$-enriched functors, one introduced by Hinich and one constructed by us.