A note on the Albert-Kelly paper ``The closure of a class of colimits'' (Q1109874)

In the article reviewed above (see Zbl 0656.18004) the following question was posed as open. Let an indexing type \(\psi\) for colimits be such that every category admitting all \(\phi\)-indexed colimits for \(\phi\) in some class \(\Phi\) also admits \(\psi\)-indexed colimits; need a functor which preserves all \(\Phi\)-indexed colimits also preserve \(\psi\)-indexed colimits? The present authors give two positive partial results in this direction. Particularly, they provide an affirmative answer when \(\Phi\)- indexed colimits are conical.