Have PPro update linked AE comp names

If I have a dynamically linked AE comp in PPro, when I rename the comp in AE, the comp name in PPro remains the same. It would be lovely if there was a way to update the name in PPro to match that in AE. PPro does already know the name of the comp - if I do a right-click > Properties, the actual name of the comp is listed in its properties. I can then copy the actual name, and paste it to rename it, but it'd be nice if this was automated - maybe something like "Update Composition Name" could appear under the Modify... menu.