You can't use the actual AE plugin in any other editor, but the update did add a new render feature, "Render Object Based Sequence" which allows you to load your project into other editors. This setting saves your project's individual components (actors, props, etc) as image sequences (and audio is also saved). You would then load these individually into an editor (such as HitFilm, which I have used using this technique and it works). As long as you layer everything correctly it should look exactly like your CA4 project; then you can add effects to the different layers. You won't be able to edit the camera work or animation as this is set in the images themselves. The new manual outlines this whole process here: https://manual.reallusion.com/Cartoon_Animator_4/ENU/Pipeline/Content/Resources/4.3/11_Export/Post-Production-with-Video-Editor.htm
Hope this helps!