We save data in the browser all the time with Cookies, Cache, IndexedDB, etc. For the most part, we leave it up to the browser to decide how long that data will be kept. Some will aggressively delete data and files after a week. Others take a more relaxed approach.
Persistent storage allows the developer to mark items as persistent so they have a higher priority and can be stored longer.
Code from Video: https://gist.github.com/prof3ssorSt3v3/d451a6a029f4e1c91dbd1cef9b79b380
CanIuse.com Reference: https://caniuse.com/?search=persist