Because the smaller learning rate allows the optimizer to escape saddle points, which is what happens at each cliff, instead of overshooting. The validation error in the SE algorithm oscillated approaching the second saddle point. The noise makes it difficult to state that it increased with statistical significance, but if it did it could be due to overfitting. I do not know of any result that relates the separation between saddle points, so the delay could be arbitrary. At some point you reach the bottom, of course.