We compare nonlinear structural responses for simulated accelerograms generated based on two widely used methods: the stochastic finite-fault (SFF) approach and the hybrid broadband (HBB) approach. In this study, nonlinear response potential is characterized by the peak ductility demand of inelastic single-degree-of-freedom (SDOF) systems. The key question to be addressed is this: for the same earthquake scenario, is the nonlinear response potential due to stochastic finite-fault records similar to the nonlinear response potential due to hybrid broadband records? We conclude that the peak nonlinear response characteristics of accelerograms generated using the two methods are similar, if both sets of records have the same median and the same variability. If only the median elastic response spectra of record sets from the two methods are the same, the hybrid broadband records may produce greater peak nonlinear responses due to their tendency to feature greater record-to-record variability in the low-frequency range.