  Rescattering following a neutrino-nucleus reaction changes the number,
energy, and direction of detectable hadrons. In turn, this affects the
selection and kinematic distributions of subsamples of neutrino events used for
interaction or oscillation analysis. This technical note focuses on three forms
of two-body rescattering. Elastic hadron+nucleus scattering primarily changes
the direction of the hadron with very little energy transfer. Secondly, a
hadron+nucleon quasi-elastic process leads to the knockout of a single struck
nucleon, possibly with charge exchange between the two hadrons. Also, a pion
can be absorbed leading to the ejection of two nucleons. There was an error in
the code of the {\small GENIE} neutrino event generator that affects these
processes. We present examples of the change with the fixed version of the
scattering process, but also compare these specifically to turning off elastic
scattering completely, which is similar to other neutrino event generator
configurations or a potential Equick-fix to already generated samples. Three
examples are taken from current topics of interest: transverse kinematics
observables in quasielastic neutrino reactions, the pion angle with respect to
the incoming and outgoing lepton for $\Delta$ reactions with a charged pion in
the final state, and the angle between two protons in reactions with no pions
present. Elastic hadron+nucleus scattering in its unfixed form makes a large
distortion in distributions of transverse kinematic imbalances scattering, but
only mild distortion in other observables. The distortion of the other two
processes is also mild for all distributions considered. The correct form of
hadron+nucleus scattering process could play a role in describing the width and
center of the sharp peak in the inferred Fermi-motion of the struck nucleon or
be benchmarked using (e,e'p) data.
