Exactly. The fibers that you are counting on to not let the back break have been cut through at an angle.
It is possible to "decrown" a stave or use a radial split, as the back, even with osage, but the goal is still to leave essentially full length fibers intact (remember that "grain" runs radially from the center of the log, AND sort of perpendicular to that line at the growth rings themselves). But, that method is problematic. And the backs will be weaker, hence the bow wider, than on a chased stave.