Conjecture If $a\times^{\mathsf{RLD}} b\subseteq(\mathsf{RLD})_{\mathrm{in}} f$ then $a\times^{\mathsf{FCD}} b\subseteq f$ for every funcoid $f$ and atomic f.o. $a$ and $b$ on the source and destination of $f$ correspondingly.

A stronger conjecture:

Conjecture If $\mathcal{A}\times^{\mathsf{RLD}} \mathcal{B}\subseteq(\mathsf{RLD})_{\mathrm{in}} f$ then $\mathcal{A}\times^{\mathsf{FCD}} \mathcal{B}\subseteq f$ for every funcoid $f$ and $\mathcal{A}\in\mathfrak{F}(\mathrm{Src}\,f)$, $\mathcal{B}\in\mathfrak{F}(\mathrm{Dst}\,f)$.

Solution of these conjectures (specifically the first one) may help to prove other conjectures.