@Lunaphied Continuous length cut-to-size for oddball things like shelf bins.
Also the ability to print onesie-twosies. With a full sheet of die-cut stock going into a regular printer, if you're only doing one or two labels then re-feeding it later on you're going to flex the media and after a few print cycles start getting labels peeling off causing paper jams which, thanks to the adhesive, are a nightmare to clear.
So you effectively have to print an entire sheet of labels at once and write off anything you don't need. It leads to a lot of waste.