  We continue the investigation of the distribution of $\ell^{\infty}$-Selmer
groups in degree $\ell$ twist families of Galois modules over number fields
begun in the previous paper. Building off the work on higher Selmer groups in
that part, we find conditions under which we can compute the distribution of
the $\ell^{\infty}$-Selmer groups for a given degree $\ell$ twist family. Along
the way, we show that the average rank in the quadratic twist family of any
given abelian variety over a number field is bounded.
