While writing my book I forgot to settle the following conjecture:
Conjecture $latex \forall H \in \mathrm{up} (g \circ f) \exists F \in \mathrm{up}\, f, G \in
\mathrm{up}\, g : H \sqsupseteq G \circ F$ for every composable funcoids $latex f$ and $latex g$.
Note that the similar statement about reloids is quite obvious.
I have added this conjecture to the book.
See a counterexample to this conjecture at https://portonmath.wordpress.com/2017/10/15/a-counterexample-to-my-conjecture/