The network is not based on any of the other cryptocurrencies or platforms. Unlike many on coinmarketcap, SAFE doesn't even need a blockchain.
Aside from data storage and safecoin, another thing the SAFE Network will provide is a new, better version of the internet. Secure, private, no central servers and many other advantages...
This is the only the tip of the iceberg!
edit: to clarify, I'm not suggesting SAFE aims to duplicate the content of the world wide web, but rather to be a new independent platform, redesigned from the ground up to enable SAFE's core ideals (including Secure Access For Everyone)!