Is there a way to hide the path that a hook modifier draws on the 3D view? I have a scene with an absurd amount of hooks (on the order of thousands). This, of course, clutters my scene quite badly.

I was unable to find a way to hide the paths that hooks show linking the parent to the child. I could of course just make it invisible but then the effect of the modifier is lost.
Those paths are called 'relationship lines', and can be toggled on and off here: