Indeed, the frequency of crashes in the Monte Carlo simulations was much smaller than the frequency of crashes in the real data: if one of the most frequently used benchmarks of the industry is incapable of reproducing the observed frequency of crashes, this indeed means that there is something to explain that may require new concepts and methods.
Chapter 9, Prediction Of Crashes And Antibubbles, p. 327. - Why Stock Markets Crash - Critical Events in Complex Systems (2003)