  Nogga, Timmermans and van Kolck recently argued that Weinberg's power
counting in the few-nucleon sector is inconsistent and requires modifications.
Their argument is based on the observed cutoff dependence of the
nucleon-nucleon scattering amplitude calculated by solving the
Lippmann-Schwinger equation with the regularized one-pion exchange potential
and the cutoff Lambda varied in the range Lambda = 2...20 fm^(-1). In this
paper we discuss the role the cutoff plays in the application of chiral
effective field theory to the two-nucleon system and study carefully the
cutoff-dependence of phase shifts and observables based on the one-pion
exchange potential. We show that (i) there is no need to use the momentum-space
cutoff larger than Lambda ~ 3 fm^(-1); (ii) the neutron-proton low-energy data
show no evidence for an inconsistency of Weinberg's power counting if one uses
Lambda ~ 3 fm^{-1}.
