And you get the same “problem” with the film ribbons (as opposed to the ink on fabric ribbons) used for typing crisp, beautiful letters on electric typewriters and daisy wheel printers.
Either you don’t have enemies who are going to bother going through your trash and unspooling your used ribbons to find out what you’ve been committing to sticky labels/paper… or you do have enemies like that, in which case destroying your used ribbon cartridges is really quite far down on your list of worries.