  We comment the recent manuscript by Vollmayr-Lee and Luijten
[cond-mat/0009031] focusing on classical systems with nonintegrable
interactions. The authors claim that they have proved that Boltzmann-Gibbs
statistics suffices for describing the system in thermal equilibrium. We show
that this statement is a misleading oversimplification since it only applies
for the $\lim_{N \to \infty} \lim_{t \to \infty}$ ordering, but certainly not
for the $\lim_{t \to \infty} \lim_{N \to \infty}$ one. The latter can even be
the {\it unique} physically meaningful situation for thermodynamically large
systems.
