Freestyle Line Edge and Animation problem.

I have been working on an animation that involves some motion
of a number of mesh mode planes that have freestyle line edges on them.

There is a Freestyle Line Edge render detection issue, that I am aware of.
I am using the Blender Renderer.

I have had to use Visibility, QI Detection 0,0 in order to attain
the effect that I need. This means that I cannot use the
“always detect by default” modes.

My video absolutely must move through a relative acute angle
between the camera and the Marked Freestyle Line edges
of relevence.

I have read it suggested that there is a boolean variable solution.
I don’t understand how to apply this, if it exists.
Certainly if I have lots, or too many, applicable planes
with their Freestyle Line Edges.

Consider one frame render at frame 480 for one example of the sort
of thing I just need a way to disable:

Animation.blend (986 KB)

Aside from just “avoiding those acute angles”,
or using an “always detect” mode for them, is there a way
to have those Freestyle Line Edges detected again?

This image is one example of what I mean: