  In previous work [GIKW21], we have presented evidence from numerical
simulations that the Type-II singularities of mean curvature flow (MCF) of
rotationally-symmetric, complete, noncompact embedded hypersurfaces constructed
in [IW19, IWZ21] are stable. More precisely, it is shown in that paper that for
small rotationally-symmetric perturbations of initial embeddings near the
"tip", numerical simulations of MCF of such initial embeddings develop the same
Type-II singularities with the same "bowl soliton" blowup behaviors in a
neighborhood of the singularity. It is also shown in that work that for small
rotationally-symmetric perturbations of the initial embeddings that are
sufficiently far away from the tip, MCF develops Type-I "neckpinch"
singularities.
  In this work, we again use numerical simulations to show that MCF subject to
initial perturbations that are not rotationally symmetric behaves
asymptotically like it does for rotationally-symmetric perturbations. In
particular, if we impose sinusoidal angular dependence on the initial
embeddings, we find that for perturbations near the tip, evolutions by MCF
asymptotically lose their angular dependence -- becoming round -- and develop
Type-II bowl soliton singularities. As well, if we impose sinusoidal angular
dependence on the initial embeddings for perturbations sufficiently far from
the tip, the angular dependence again disappears as Type-I neckpinch
singularities develop. The numerical analysis carried out in this work is an
adaptation of the "overlap" method introduced in [GIKW21] and permits angular
dependence.
