  In [6], it is proved that any subgroup of $\mathrm{Diff}_{+}^{\omega }(I)$
(the group of orientation preserving analytic diffeomorphisms of the interval)
is either metaabelian or does not satisfy a law. A stronger question is asked
whether or not the Girth Alternative holds for subgroups of
$\mathrm{Diff}_{+}^{\omega }(I)$. In this paper, we answer this question
affirmatively for even a larger class of groups of orientation preserving
diffeomorphisms of the interval where every non-identity element has finitely
many fixed points. We show that every such (irreducible) group is either affine
(in particular, metaabelian) or has infinite girth. The proof is based on
sharpening the tools from the earlier work [1].
