It is possible to generalize our construction to obtain bubble-trees of ALF-$A_{k}$ metrics at the interior points with several levels of scaling (by taking clusters of monopole points in the neck region which conglomerate in the limit at various rates). Similarly, one could take some monopole points to have higher multiplicity, in which case one would obtain collapsing sequences of Ricci-flat metrics on orbifold K3 surfaces with $A_{k}$-type singularities. However, for simplicity we do not list all of these numerous possibilities here in this paper, but see Remark 9.8 below.