  We critique the measure of complexity introduced by Shiner, Davison, and
Landsberg in Ref. [1]. In particular, we point out that it is over-universal,
in the sense that it has the same dependence on disorder for structurally
distinct systems. We then give counterexamples to the claim that complexity is
synonymous with being out of equilibrium: equilibrium systems can be
structurally complex and nonequilibrium systems can be structurally simple. We
also correct a misinterpretation of a result given by two of the present
authors in Ref. [2].
  [1] J. S. Shiner, M. Davison, and P. T. Landsberg, ``Simple Measure for
Complexity'', Phys. Rev. E 59 (1999) 1459-1464.
  [2] J. P. Crutchfield and D. P. Feldman, ``Statistical Complexity of Simple
One-Dimensional Spin Systems'', Phys. Rev. E 55:2 (1997) 1239R-1243R.
