There was a fad of endless loop tapes in the 80s... Exatron stringy-floppy. That is probably the closest physical analogy. Think "cassette tape interface" with electrically controllable R/W on an answering machine cassette, all conceptually of course this isn't how it actually worked. It had nothing to do with a floppy other than storing about the same amount of data, very java vs javascript like.
It wasn't that long ago that "hard disk" meant "3.5 inch floppy disk" to many people. Pedantically speaking, they were wrong, too, but the little floppies were hard to the touch and they did store files. It made sense.
It's a triumph, in a sense, that so many people are at least able to grasp the function of this invisible machine (the hard drive) even if they aren't using the term in an engineer's excruciatingly precise and correct way.