I'm not sure most people would grasp the difference between a company that says it doesn't keep your data and a company that says it can't keep your data.
And that pretty much requires a party other than the recipient whose interest it is to lock down the client as much as possible to at least increase the hassle-factor in violating the senders trust.
Otherwise, if the recipient had the "EvilReplicatingToFacebook" fork of the app readily available, it'd quickly destroy any value in the app.