I've worked on systems this decade that still relied on floppy disks. It's getting harder and harder for them to operate because the disks are getting rarer, as are the drives. And often the essential component is not the disk itself. There are some other computers in the system that cannot be upgraded to any more recent device, systems from the 1980s and 1990s that force them to continue using a floppy disk.

If it was just two modern computers and transferring data between them, the floppy disk would have been dropped in a heartbeat. But it's the old computers still in the critical path that are holding everything back. And those are really hard to maintain. Last year we phased out a system that was dependent on computers from the mid-1990s, getting replacement parts was practically impossible, they mostly just don't exist. You'd buy old systems off ebay and hope that they had enough working parts to scavenge, and the right working parts.

EDIT: Light editing because I had some extra words.