In some ways, it already has.
Lots of orgs that used to have file servers and data centres have been moving to things like OneDrive.
On-board storage space used to be a selling point for laptops, phones, and pre-built computers...but now some of them are coming bundled with a few months' subscription to cloud storage. It's been easy to find desktops with 0.5 or 1TB of storage space for years, yet the price of HDDs has been decreasing for years.
Plenty of people seem to use things like Google Drive as a way to move files or even to "save space on their devices" the way that we used to use thumbdrives or external drives (and yes, those are still viable methods of moving and backing up files, but it used to be the only way).
I think if your computer has only 0.5TB of storage, then the machine might as well be primarily a cloud storage-backed device. (Unless you've got your files elsewhere, etcetcetc). We'll always need local storage for things like the OS and for more easily running whatever apps or files that were just downloaded off the cloud...so I don't think it'll ever go to 0. But 0.5TB is pretty darn close these days! Lol
And if you think that you're not guilty of using cloud storage...tell me what percentage of your Steam library you have downloaded locally... Lol
(Steam isn't cloud storage, but the principle is similar -- "I don't need to store my files because they're available for me to download at any time from someone else's computer!")