If you don't rename the comps in After Effects they are easy to identify. For example, I have these linked AE projects in Premiere Pro:
Music 20-0411 Linked Comp 03/Cut 1.aep
Music 20-0411 Linked Comp 04/Cut 1.aep
Music 20-0411 Linked Comp 06/Cut 1.aep
Music 20-0411 is the name of the Premiere Pro project and it follows my Project Naming Convention.
The first linked comp is Comp 3 in the comp named Cut 1.aep, which also follows my naming conventions.
When you open the AEP all you have to do is go to Comp1.
There are no settings in Preferences that allow you to change the naming structure. Nothing is preventing you from renaming Comp 1 in After Effects to something like Comp 1 - Motion Stabilize the graphic. That way you can still easily find Comp 1 but you now have some idea what you are doing in Comp 1. That is also part of my standard workflow.
There is one thing I think I might find a little more useful. You can rename a clip in a Premiere Pro Sequence. I do this all the time. It would be nice if the clip name in the PPro sequence became the comp name in AE. That might make things a little easier and it would save me some typing. Maybe I will submit a feature request.