The real goal would be to help the public know they really can and should demand proof that their deposits are safe and sound and not fractionally pledged, the same way "provably fair gaming" is teaching us by example that we should demand, well, provably fair games.
In turn, this would cut down the number of "paper bitcoins" in existence (or rather, I should say, "bitcoin-denominated promises", because the "paper bitcoins" I have in mind - like bitaddress.org and bip38 - are actually close to the best kind of bitcoins you can have!)
Awesome, awesome idea. I'm replying without having really thought through much (and indeed somewhat off-topic from the OP) but that sounds like it would work, right? Because of the non-fractional reserve, you'd have to pay some kind of fee to store your BTC at the First Bank of Casascius, though. So basically you're paying a party to securely store your BTC for you. Which is the whole idea of the original purpose of banks, except now the fact that they're actually holding on to it is instantly verifiable. Cool.
You haven't, like, patented that idea or anything yet, have you? heh.