The consistency of $\ensuremath{\pi}N$ and $\mathrm{NN}$ scattering demonstrated in a previous paper is reexamined by reparametrizing the Bowcock-Cottingham-Lurie model for $\ensuremath{\pi}N$ scattering to include the effects of baryon resonances beyong the well-known ${\ensuremath{\Delta}}_{\ensuremath{\delta}}(1236)$. The reparametrization, though unphysical in the sense of requiring a negative width for the ${N}_{\ensuremath{\gamma}}(1518)$ to achieve a best fit to low-energy $\ensuremath{\pi}N$ data, reduces the ${\ensuremath{\chi}}^{2}$ of the model by a factor of 8.6. Used as input for the $\mathrm{NN}$ calculations, this new parametrization is found to yield essentially the same results as when only the $N$ and ${\ensuremath{\Delta}}_{\ensuremath{\delta}}(1236)$ are included in the $\ensuremath{\pi}N$ model. Arguments are presented to explain the apparent insensitivity of the $\mathrm{NN}$ predictions to the fine details of the $\ensuremath{\pi}N$ model.