You can hide and show all the strokes, stroke path curves (underlying curves of strokes), and control curves in the scene.
You may want to hide strokes if the wireframe stroke feedback is cluttering your view while you work on other objects in the scene. Although you could change the display quality for the strokes, you would have to do so on a stroke-by-stroke basis.
By default, stroke curves are hidden. You may want to show stroke curves to see the CVs making up the curves. You can then translate the CVs to change the stroke shape.
Control curves influence tube behavior. Hiding control curves will allow you to see the tubes unobstructed in wireframe mode. For information on control curves, see Modify tube behavior using control curves.