Conjecture $(\mathsf{RLD})_{\mathrm{out}}(\mathcal{A}\times^{\mathsf{FCD}}\mathcal{B})=\mathcal{A}\times^{\mathsf{RLD}}\mathcal{B}$ for every filter objects $\mathcal{A}$ and $\mathcal{B}$.
Conjecture $(\mathsf{RLD})_{\mathrm{out}}(\mathsf{FCD})f=f$ for every reloid $f$.