Ok. Wow. So this was actually a serious thread and not a joke…
IMO, “Safe Network” is a great launch/project name. It follows a play on words implying safety and security to the users of the network and their personal/business data, but also builds on the metaphor of having a network of physical “safes” or vaults in the real world, which is also reflected by the library names in code. The OP should instead focus their creative energies to consider a new name for the “the internet” we all use now. The rebranding of the current way the web works is something we have already poked fun at here.
The public will give the Safe Network nicknames after launch like “safenet”, “safernet”, “S-net” etc. Culture will decide. If MaidSafe does does it right (which I think they are), then people won’t even notice the transition, and the general public/ laypeople will just keep right on calling it “the internet” but refer to the current web with a nostalgic moniker.