It can be marked as deleted in the file table. Destroying a paper can be done on the toilet or simply eaten.
nitpick: data is at least partially recoverable for both of these examples for a period of time as well. so they are kind of soft deletes.
but yeah, probably much faster to full delete than most cloudy services with backups. along with some other anti-recovery benefits (the bodily fluids kind).
iPhone and Android now use file encryption for every file. Impossible to recover a file as both file and key are deleted.