Well, I would create all my 3D Comps, select one of them and precompose it, then I’d do the same thing to the other ones, only then, I’d create my camera and animate it.
For 3D pre-compose always click the “continuous rasterize” option,(a little sun) at my timeline.
If I need a particular animation at any precompose, I just right-click it and click “open composition”.
For me it always work.