Alex,
Please have a look here, I had seen the side edges as a problem.
https://www.amazon.com/clouddrive/share/PMZmqi1FFrPafJcYpsjDrqhLsjD4N2JlVtk2WUW8sTX
Here are all edges now visible. Any of them. Have a look at the Combine option in the Texture Tag.
Sometimes it seems to be impossible to find a solution based on the animation or other influences. Typically then I would suggest harvesting Splines (Edge To Spline) as they often work more stable. Those Splines can be child objects of those problem-objects.
(Besides, if there is an animation that shows temporally only a part of the line, other settings need to be set if problems arise. Material>Render> Clip Stroke to Screen [higher render time if on])
All the best