Scenario:

1. Enrol user in a course, e.g. with Student role.
2. Suspend this user's (= course participant's) enrolment in the course, or otherwise make inactive ("Not current").
3. Login as admin, open the the course's Participants list, click on the suspended/inactive participant's name to open their course profile.
4. The course profile will include the "Course details" section but miss the course's name and not show any info that the participant is suspended / inactive there.
5. I believe such information should be displayed there - for admins, managers and course teacher/s.

In addition, on that user's full profile, there is no information whatsoever about the course(s) where this user belongs but status is inactive / not current etc. I would expect admins and managers to have access to such information: