That clutch or rather friction clutch by which the take up spool is driven by the sprocket wheel in the classic set-up is not intended for rewinding, but to compensate that the take up spindle grows by taking up film and thus steadily the rotation ratio between both to has to change.
For rewinding the sprocket wheel would be disengaged from the transporting/cocking lever.

Another aspect is that some cameras have got a pair of pressure wheels which push the film onto the sprockets. With unperforated film this will make it difficult for the sprockets to rotate under film.