  We study expectation values related to the dynamical lattice spacing that
occurs in the recent supersymmetric 2d lattice Yang-Mills constructions of
Cohen et al. [hep-lat/0307012]. For the purposes of this preliminary analysis,
we restrict our attention to the bosonic part of that theory. That is, we
compute observables in the fully quenched ensemble, equivalent to
non-supersymmetric 2d lattice Yang-Mills with a dynamical lattice spacing and
adjoint scalars. Our numerical simulations indicate difficulties with the
proposed continuum limit. We find that expectation values tend to those of the
undeformed ``daughter theory,'' in spite of the deformation suggested by Cohen
et al. In an effort to understand these results, we examine the zero action
configurations, with and without the deformation. Based on these
considerations, we are able to interpret the simulation results in terms of
entropic effects.
