Create the "bottom" surface of the cam by using the longer cam projected curves eg trough curves. Extend project the face to cover the whole cam. Trim the extended face with the wrapped curves and thicken the face. Else have a look to Swept volume.
walls of thicken feature are radial to the cylindrical surface, but in the real world are parallel to the axis tool. The demostration is that the distance from a wall and the opposite respect to the up and botton are different.