I was also reading J.P., J.M. Smoliga, M.J. Brick, J.T. Jolly, S.M. Lephart, and F.H. Fu. Relationship between cycling mechanics and core stability. J. Strength Cond. Res. 21(4):1300–1304. 2007, which suggests that a strong core doesn't magically increase pedalling force capability, but does help pedalling form. Apparently when the core gets fatigued, your pedalling joints (ankles, knees, hips) start to wander further out of alignment, therefore increasing risk of injury, and no doubt reducing efficiency.
I was also reading J.P., J.M. Smoliga, M.J. Brick, J.T. Jolly, S.M. Lephart, and F.H. Fu. Relationship between cycling mechanics and core stability. J. Strength Cond. Res. 21(4):1300–1304. 2007, which suggests that a strong core doesn't magically increase pedalling force capability, but does help pedalling form. Apparently when the core gets fatigued, your pedalling joints (ankles, knees, hips) start to wander further out of alignment, therefore increasing risk of injury, and no doubt reducing efficiency.