Flicker when ChaseCamera targets animating bone

If a ChaseCamera is targeting a Node that is either a bone in a skeleton, or a child of such, there will be bizarre flickering of all objects in the heirarchy that are children of the skeleton.  For instance if a Hat is attached to the "head" bone of a character, and the camera is targeting the hat (or any other member of the skeleton chain), then the Hat will flicker.

I've tried all sorts of variations of updating trees before cameras, and input handlers before trees.  Nothing seems to work.

Does anyone have a solution to this?