Oof, that sound like the digital equivalent of a teacher locking themselves out of their classroom!
That capability sounds promising, but the documentation suggests that it is not really about what they can do on the Participants page. Rather, it adds a completely separate option to their Administration block (or the nav drawer, I guess). Reviewing other capabilities with "enrol" in them, I do not think there is a combination that would neatly do what you want.
The earlier part of the process makes me think, though: is there another way? Perhaps you are trying to save space or help teachers self-service, but when we need a new semester or year of a course, we make a fresh copy of it so that we do not lose the old data. That requires another person with the right role (Manager or Course creator) to backup and restore courses, but I think it matches the logic of things a little better.
What about the Reset course option? It is more explicit about affecting specific Roles.
You could also help them use the filter search on the Participants page, to only select Students.