Well. The Parallax Barrier is a "LCD" that can only be turned on or off to display a fixed pattern of black stripes. It is located below the normal LCD in order to direct the background light so each of your eyes sees a different set of vertical rows of pixels.
As soon as you slide up the 3D slider the barrier turns on, but it will not change if you slide it up further. The only thing that will happen, is that the currently running software will move the 2 "cameras" in the virtual 3D space further together or apart depending on if you moved it down or up.
The 3D depth is not controlled by mechanically changing the parallax barrier. That would not even increase/decrease the "strength" of the 3D image but only move it closer to you or further back into the screen.
Also as stated before in this thread this is why the strength of the 3D effect can't be changed in pre rendered videos. They are not rendered on the 3DS itself and thus have 2 fixed cameras that can't be changed afterwards.
You can also look at the teardown of iFixit. There you will see that there is no mechanical connection between the slider and the parallax barrier. And
here you can read that "
The two LCD panels were attached to each other with an adhesive film." So there is no way they can even move relative to each other