Taking the collision response animator as an example, these are attached to a node, say a camera node, in order to resolve any collision issues that have occured. The problem here is that it's all done inside the render -
Step1: Pre-render - cull and submit for rendering
Step2: Render - draw what's needed
Step3: Post-render - resolve collisions
See the problem? If we have moved our camera into an area it should not be, it is rendered in this position _before_ the collision is dealt with! Result: seeing through walls.
In my opinion, the Post-render step should be renamed to "Update" or "Animate" and removed from the render-flow entirely (it's not, after all, anything to do with rendering) or at the very least, moved to be the first step.
Hope this helps