Storage rental is a concept that most people are familiar with. Extending that from physical objects to data isn't a very big step. Of course, storage facilities probably have some regulations to comply with that you won't be following.
Yes, with this logic, storage rental should expand into the sharing economy. You could rent out a room in your house for strangers to store their stuff in. Not a big step at all.
You say that like it's not going to be the next unicorn. You just LOCKER your stuff. We use machine learning AI to process an snapshot and dispatch an appropriately sized box via a car sharing service, the driver packs up your shit, and delivers it to a LOCKER storage contractor. All on the blockchain.
