What does persistency have to do with whether it's a memory or a hard drive? There are plenty of persistent memories.
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.