I think if there's any problem with the term "cleansing," it's that too many people have used it in a totally meaningless way, and almost caused the term to drift. This is unfortunate, since it clearly does fit a (more sane) colloquial definition of "cleansing and repairing."
Autophagy translates to self-eating. Cleansing and restoring are incorrect terms because they don't describe the process, but our hopes about its outcome.