Since the reason for the sun shade problem is a fabric shade that is stretched too tightly (side to side) in the structure, the binding can be alleviated by bringing the two side sections a bit closer together. I found that the holes through which pass the five torx screws holding each side section to the roof were much larger in diameter than the shafts of the screws. The same is true of the countersunk areas for the screw heads. This means that adjustment of position is possible, and was even intended by design.
My sun shade was essentially unusable when I received my car. Rolling the rear spool by hand helped only in opening the shade, and was most inconvenient. Lubrication of the rails with a film of silicone did not help. I loosened all of the screws, and pressed each side section toward the inside of the car whilst tightening each screw (carefully—they thread into the polycarbonate roof). Now, my sun shade operates properly, and reasonably smoothly, without the rails popping out of the c-clips. The difference is quite remarkable. The job took less than five minutes.
The screws have washer style heads that limit how far this process can be carried. I plan to turn down the heads slightly in a lathe, and suspect that this may make operation of the sun shade as effortless as permitted by the design. This could also be done by chucking the screws in a drill, and applying a file.