Here is a speculation about the really big and long-term picture. It’s almost like a delusion of grandeur scenario, but who knows! Maybe it can be done.
Imagine in the future that the SAFE network has become really big and starts to assimilate the World Wide Web. Instead of http(s)://www.google.com the SAFE version is safe://www.google.com. In this way the whole Web can be assimilated during a transition period where more and more websites are moved into the SAFE network.
This can be accomplished by a distributed web server layer on top of the SAFE network. Instead of only running apps locally, there is a separation between code running locally in the browsers/clients and code running in the distributed web servers. This makes the porting of existing (WWW) web sites easy. And it’s also really useful for the Internet of Things (IoT).