That's OK, at least now I understand better how CC Sphere works.
I've also experimented with camera, and came to conclusion that CC Sphere doesn't treat the perspective the same way as After Effects.
I tried 15 mm camera and 200 mm camera, and CC Sphere doesn't seem to be effected by this feature. But the solid layer is dramatically effected by it. Here is an illustration:
It appears that only 200 mm camera gives good result compatible with CC Sphere.
P.S. A link to the project file:
4212_solutiondiscussionfinal.aep.zip