My guess, knowing how smart the people behind the code for this app are, is that they're not actually using "salted hashes" to store passwords, but an actual password hash (like bcrypt). Either way: the announcement would be better if it said which one they used.
"Salted hashes" have been obsoleted, and are quickly attackable.
It is possible to build an app like Vesper and not have it be straightforward to be compelled by the authorities to build surveillance into it; with native clients as the only clients, some straightforward cryptography would get them there. I'd hope they'd at some point be interested in talking to cryptographers about how to do that right. But like I said, in the absence of sound cryptography, candor is a great substitute.
There's no OS X app for this yet, is there? I'd use it for personal stuff if there was.